A note on the Tikhonov theorem on an infinite interval, Vietnam Journal of Mathematics, accepted
Some remarks on the renormalization group and Chapman-Enskog type methods in singularly perturbed problems, Mathematical Methods in the Applied Sciences, 2020, DOI: 10.1002/mma.6273
Effective and Ineffective Treatment in a Malaria Model for Children in Endemic Regions, Afrika Matematika, 2019, 30, 1181–1204 https://doi.org/10.1007/s13370-019-00713-z (with B.A. Danquah and F.Chirove)
Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics, in: Frank T. Smith, Hemen Dutta and John N. Mordeson (eds), Mathematics Applied to Engineering, Modelling, and Social Issues, 2019, 439-487, Springer, Cham, ISBN: Print 978-3-030-12231-7, Online 978-3-030-12232-4, DOI https://doi.org/10.1007/978-3-030-12232-4 (with A. Puchalska)
The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation, Kinetic and Related Models, 2019, 12(5), 1069-1092, (with L.O. Joel and S. Shindin)
Global solutions of continuous coagulation--fragmentation equations with unbounded coefficients, Discrete and Continuous Dynamical Systems – S, 2020, 10.3934/dcdss.2020161,
Canard solutions in equations with backward bifurcations of the quasi-steady state manifold, Journal of Mathematical Analysis and Applications, 2019, 471(1-2), pp. 776-795 (with M.S. Seuneu Tchamga, K. Szymańska-Dȩbowska).
On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage, Journal of Theoretical Biology, 2019, 481(7-8), 202-222 , https://doi.org/10.1016/j.jtbi.2018.12.043, (with Gideon A.Ngwa, Miranda I.Teboh-Nwungkem, Yves Dumont, Rachid Ouifki)
Discrete growth-decay-fragmentation equation:well-posedness and long term dynamics, Journal of Evolution Equations, 2019, 19, 771–802 https://doi.org/10.1007/s00028-019-00499-4 (with L.O. Joel and S. Shindin
Population models with projection matrix with some negative entries - a solution to the Natchez paradox, Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, 2018, 11(3), 18-28
Causal relations in support of implicit evolution equations, Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, 2018, 11(3), pp. 85-102 (with Sauer, N., Lee, W.-S.)
Aggregation Methods in Analysis of Complex Multiple Scale Systems, in: Priscilla Mensah et al (Eds) SYSTEMS ANALYSIS APPROACH FOR COMPLEX GLOBAL CHALLENGES, Springer 2018, pp 249-276, https://doi.org/10.1007/978-3-319-71486-8_13 (with A. Falkiewicz and M. S. Seuneu Tchamga)
Analytic fragmentation semigroups and classical solutions to coagulation--fragmentation equations - a survey, Acta Mathematica Sinica, (English Series), 35(1), pp. 83-104, doi.org/10.1007/s10114-018-7435-9.
Generalized network transport and Euler-Hille formula, Discrete and Continuous Dynamical Systems-B, (23) 5, 2018, 1873–1893, doi:10.3934/dcdsb.2018185 (with A. Puchalska).
Analysis and Simulations of the Discrete Fragmentation Equation with Decay,Math Meth Appl Sci. 2018;41: 6530–6545. (with L.O. Joel and S. Shindin), doi: 10.1002/mma.4666
Delayed stability switches in singularly perturbed predator-prey models, Nonlinear Analysis: Real World Applications, 35, (2017), 312-335 doi:10.1016/j.nonrwa.2016.10.013 (with M. S. Seuneu Tchamga)
A Singular Limit for an Age Structured Mutation Problem, Mathematical Biosciences and Engineering, 14(1), (2017), 17-30 (with A. Falkiewicz)
Kinetic models for crowd dynamics. Comment on "Human behaviours in evacuation crowd dynamics: From modelling to "big data" toward crisis management" by N. Bellomo et al., Physics of Life Reviews, 18 (2016), 22-24, DOI: 10.1016/j.plrev.2016.07.008
Explicit formulae for limit periodic flows on networks, Linear Algebra and Applications, 500, (2016), 30-42
Kinetic models - mathematical models of everything? Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al. Physics of Life Reviews, 16, (2016), 140-141, DOI: 10.1016/j.plrev.2016.01.005
Asymptotic state lumping in transport and diffusion problems on networks, Mathematical Models and Methods in Applied Sciences, 26, No. 2 (2016) 215-247 (jointly with A. Falkiewicz and P. Namayanja),
Semigroup approach to diffusion and transport problems on networks, Semigroup Forum, 93(3) (2016) 427 - 443 (jointly with A. Falkiewicz and P. Namayanja), DOI 10.1007/s00233-015-9730-4.
Some transport and diffusion processes on networks and their graph realizability, Applied Mathematics Letters, 45, (2015), 25-30, doi:10.1016/j.aml.2015.01.006 (jointly with A. Falkiewicz).
Singularly perturbed systems with non-isolated limit manifolds and applications, in A. Bartłomiejczyk (Ed.) Metody Matematyczne w Zastosowaniach, Monograph of the Centre of Applications of Mathematics, vol. 3, (2015) 1-20, (in Polish).
Multi-scale problems in complex domains -- a mathematical framework for systems biology. Comment on ``On the Interplay between Mathematics and Biology Hallmarks Toward a New Systems Biology'' by N. Bellomo, A. Elaiw, A. M. Althiabi and M. A. Alghamdi, Physics of Life Reviews, 12, (2015), 65-67, doi:10.1016/j.plrev.2015.01.004.
Canard-type solutions in epidemiological models, Discrete Contin. Dyn. Syst. 2015, Dynamical systems, differential equations and applications, 10th AIMS Conference, Suppl., 85--93. (jointly with E. Kimba Phongi).
Solvability of Age Structured Epidemiological Models with Intracohort Transmission, Mediterranean Journal of Mathematics, 12, (2015) 1307–1321, (with R. Y. M’pika Massoukou), DOI 10.1007/s00009-015-0556-9,
A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups, Journal of Evolution Equations, 15 (1), (2015), 223-237 (with A. Bobrowski).
Kinetic Models in Natural Sciences, in: J. Banasiak and M. Mokhtar-Kharroubi (eds.), Evolutionary Equations with Applications in Natural Sciences, Lecture Notes in Mathematics, Vol. 2126, Springer, Heidelberg, 2015, 133-198.
A singularly perturbed age structured SIRS model with fast recovery, Discrete Cont. Dyn. Syst. –B, 19 (8), (2014), 2383-2399, (with R. Y. M’pika Massoukou).
Asymptotic behaviour of flows on reducible networks, Netw. Heterog. Media 9 (2014), no. 2, 197–216 (with P. Namayanja)
Pseudospectral Laguerre approximation of transport-fragmentation equations. Appl. Math. Comput. 239 (2014), 107–125 (with N.Parumasur, W. Poka, S.Shindin)
On the existence of moments of solutions to fragmentation equations, Journal of Mathematical Analysis and Applications, 413(2), (2014), 1017-1029, (with W. Lamb)
Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations, Mediterranean Journal of Mathematics, 11(2) (2014), 533–559, (with A. Goswami, S. Shindin).
On a macroscopic limit of a kinetic model of alignment, Mathematical Models and Methods in Applied Sciences, 23(14), (2013), 2647–2670 (with M. Lachowicz).
A singularly perturbed SIS model with age structure, Mathematical Biosciences and Engineering, 10(3), (2013), 499-521, (with E. Kimba Phongi and M. Lachowicz)
Strongfragmentation and coagulation with power-law rates, Journal of Engineering Mathematics, 82, (2013), 199-215 (with W. Lamb and M. Langer)
Relative entropy and discrete Poincaré inequalities for reducible matrices, Applied Mathematics Letters, 25(12), (2012), 2193-2197, doi:10.1016/j.aml.2012.06.001, (with P. Namayanja)
Asynchronous Exponential Growth of a General Structured Population Model, Acta Applicandae Mathematicae, 119, (2012), 149–166 (with K. Pichór, R. Rudnicki)
Analytic fragmentation semigroups and continuous coagulation–fragmentation, J. Math. Anal. Appl., 391 (2012) 312–322 (with W. Lamb)
The discrete fragmentation equation: semigroup, compactness and asynchronous exponential growth, Kinetic and Related Models , 5(2), (2012), 223—236 (with W. Lamb)
Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates, Nonlinear Analysis: Real World applications, 13,(2012), 91-105, DOI: 10.1016/j.nonrwa.2011.07.016
Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (3), (2011), 465-480 (with W. Lamb).
On an irregular dynamics of certain fragmentation semigroups, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 105, (2011) DOI: 10.1007/s13398-011-0015-9, 61–377.
Blow-up of solutions to some coagulation and fragmentation equations with growth, Discrete and Continuous Dynamical Systems, Supplement 2011, 126-134.
Multiscale approach in mathematical biology Comment on “Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives” by Bellomo and Carbonaro, Physics of Life Reviews, 8 (2011), 19-20 (with M. Lachowicz)
Aggregation in age and space structured population models:an asymptotic analysis approach, J. Evol. Equ., 11 (2011), 121–154 (with S. Shindin and A. Goswami)
Chaos in Kolmogorov systems with proliferation – general criteria and applications, Journal of Mathematical Analysis and Applications, 378 (2011) 89–97.
On general transport equation with abstract boundary conditions. The case with divergence free force field, Mediterranean Journal of Mathematics, 8 (2011), 1–35, (with L. Arlotti and B. Lods)
Dynamics of the birth-and-death process with proliferation -- stability and chaos, Discrete and Continuous Dynamical Systems-A, 29 (1), (2011), 61-79, (with M. Moszyński)
Chapman-Enskog asymptotic procedure in structured population dynamics, Il Nuovo Cimento, 33 (1), (2010), 31-38, (with S. Shindin)
Nonautonomous fragmentation equation via evolution semigroups, Mathematical Methods in the Applied Sciences, 33, (2010), 1201-1210 ( with L. Arlotti),
Controlling number of particles in fragmentation, Physica D, 239 (2010) 1422-1435, (with S.C. Oukouomi Noutchie)
Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation, Journal of Nonlinear Mathematical Physics, 16 (supp. 01), (2009), 16-32, ( with S.C. Oukoumie Noutchie and R. Rudnicki)
Conservativeness in nonlocal fragmentation models, Mathematical and Computer Modeling, 50, (2009), 1229-1236 (with S.C. Oukouomi Noutchie)
Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system, Journal of Evolution Equations, 9, (2009), 293–314 (with A. Bobrowski)
A new approach to transport equations associated to a regular fields: trace results and well-posedness, Mediterranean Journal of Mathematics, 6(4) (2009), 367-402 , (with L. Arlotti and B. Lods)
Coagulation, Fragmentation and Growth Processes in a Size Structured Population, Discrete and Continuous Dynamical Systems, Series-B, 11 (3), (2009) , 563–585 (with W. Lamb)
Chaotic linear systems in mathematical biology, South African Journal of Science, 104, May/June 2008, 173-179.
Hypercyclicity and chaoticity spaces of semigroups, Discrete and Continuous Dynamical Systems, Series-A, 20(3), (2008), 577-587, (with M. Moszynski)
Positivity in natural sciences. in: Multiscale problems in the life sciences, Springer Lecture Notes in Math., 1940, 2008, 1-89.
On transport equations driven by a non-divergence free force field,30, (2007), 2155-2177, Mathematical Methods in the Applied Sciences, (with L. Arlotti & B. Lods).
Challenges in the Numerical Solutions for Models in Transport Theory, Transport Theory and Statistical Physics, 36(1-3), (2007), 67–78, (with J. Kozakiewicz & N. Parumasur).
Around the Kato generation theorem for semigroups, Studia Mathematica, 179(3), (2007), 217–238, (with M. Lachowicz).
Chaotic behavior of semigroups related to the process of gene amplification–deamplification with cells’ proliferation, Mathematical Biosciences, 206, (2007), 200–215. (with M. Lachowicz i M. Moszynski),
Kinetic-type models with diffusion - conservative and non-conservative solutions, Transport Theory and Statistical Physics, 36(1-3), (2007), 43-65.
On a Coagulation and Fragmentation Equation with Mass Loss, Proceedings of the Royal Society of Edinburgh, 136A, (2006), 1157-1173, (with W. Lamb).
Shattering and non-uniqueness in fragmentation models – an analytic approach, Physica D, 222(1- 2), (2006), 63-72.
On well-posedness of the spatially inhomogeneous linear Boltzmann equation of semiconductor theory, Mathematical Models and Methods in Applied Sciences, 16 (9), (2006), 1441-1468, (with L. Arlotti i F. Ciake-Ciake).
Semigroups for generalized birth–and–death equations in lp spaces, Semigroup Forum 73(2), (2006), 175–193, (with M. Lachowicz & M. Moszynski).
A generalization of Desch–Schappacher–Webb criteria for chaos, Discrete and Continuous Dynamical Systems –A, 12(5), (2005), 959-972 (with M. Moszynski).
Diffusion Approximation of Linear Kinetic Equations with Non-equilibrium Data – Computational Experiments, Transport Theory and Statistical Physics, 34(6), (2005), 475-496, (with J. M. Kozakiewicz and N. Parumasur).
Birth-and-death systems with parameter and chaotic dynamics in some linear kinetic systems, Zeitschrift fur Analysis und ihre Anwendungen, 24(4), (2005), 675–690.
Chaotic linear dynamical systems: theory and applications. (Polish) Wiadom. Mat. 41 (2005), 51--79.
Conservative and shattering solutions for some classes of fragmentation models, Mathematical Models and Methods in Applied Sciences, 14, (2004), 483–501.
Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss, Journal of Mathematical Analysis and Applications, 293 (2) (2004), 693–720 (with L. Arlotti).
On conservativity and shattering for an equation of phytoplankton dynamics, C. R. Biologies, 327 (2004), 1025–1036.
Universality of dishonesty of substochastic semigroups: shattering fragmentation and explosive birth-and-death processes, Discrete and Continuous Dynamical Systems –B, 5(3), (2004), 529–542, (with M. Mokhtar-Kharroubi).
Chaos in some linear kinetic models.``WASCOM 2003''---12th Conference on Waves and Stability in Continuous Media, 32--37, World Sci. Publ., River Edge, NJ, 2004.
Multiple solutions to linear kinetic equations, Transport Theory and Statistical Physics, 38 (2003), 381–398.
Topological chaos: when topology meets medicine, Applied Mathemtics Letters, 16, 2003, 303–308, (with M. Lachowicz i M. Moszynski).
Solvability of linear kinetic equations with multi-energetic inelastic scattering, Reports on Mathematical Physics, 52 (2) (2003), 235–253, (with M. Groppi).
On well-posedness of a Boltzmann like semiconductor model, Mathematical Models and Methods in Applied Sciences, 13 (6), (2003), 875–892.
On the application of the substochastic semigroup theory to fragmentation models with mass loss, Journal of Mathematical Analysis and Applications, 284 (1) (2003), 9–30 (with W. Lamb)
On a non-uniqueness in fragmentation models, Mathematical Methods in the Applied Sciences, 25, (2002), 541-556
Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: reference manual. Transport Theory Statist. Phys. 31 (2002), no. 3, 187-248, (with G.Frosali G and G.Spiga)
Topological chaos for birth-and-death-type models with proliferation. Math. Models Methods Appl. Sci. 12 (2002), no. 6, 755-775. (with M. Lachowicz).
B-bounded semigroups and C-existence families. Taiwanese J. Math. 6 (2002), no. 1, 105-125, ( with Singh V).
Chaotic linear dynamical systems with applications. Semigroups of operators: theory and applications (Rio de Janeiro, 2001), 32--44, Optimization Software, New York, 2002 (with M. Lachowicz).
Space homogeneous solutions of the linear Boltzmann equation for semiconductors: a semigroup approach.``WASCOM 2001''---11th Conference on Waves and Stability in Continuous Media (Porto Ercole), 34--40, World Sci. Publ., River Edge, NJ, 2002 (with G. Frosali and F. Mugelli).
On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application, Taiwanese J. Math. 5 (2001), no. 1, 169--191
On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering. Atti Sem. Mat. Fis. Univ. Modena 49 (2001), no. 1, 221—245.
On the existence of propagators in stationary Wigner equation without velocity cut-off. Transport Theory Statist. Phys. 30 (2001), no. 7, 659—672 (with L. Barletti)
Chaos for a class of linear kinetic models, C. R. Acad. Sci. Paris, t. 329, Serie IIb, (2001), 439-444. (with M. Lachowicz).
Diffusion approximation of an inelastic scattering model in linear kinetic theory. Adv. Math. Sci. Appl. 10 (2000), no. 1, 375-397.
B-bounded semigroups, existence families and implicit evolution equations. Semigroups of operators: theory and applications (Newport Beach, CA, 1998), 25--34, 42,Birkhäuser, Basel, 2000.
Mathematical properties of inelastic scattering models in linear kinetic theory. Math. Models Methods Appl. Sci. 10 (2000), no. 2, 163-186
On a diffusion-kinetic equation arising in extended kinetic theory. Math. Methods Appl. Sci. 23 (2000), no. 14, 1237-1256
Stability of linear dynamical systems: modern versions of Lyapunov's theorem or the history of four numbers. (Polish) Wiadom. Mat. 36 (2000), 23-44.
The existence of moments of solutions to transport equations with inelastic scattering and their application in the asymptotic analysis. J. Appl. Anal. 6 (2000), no. 2, 187-211
Inelastic scattering models in transport theory and their small mean free path analysis. Math. Methods Appl. Sci. 23 (2000), no. 2, 121—145, (with G. Frosali and G. Spiga).
Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory, Mathematical Models and Methods Applied Sciences, 8 (5) (2000) 851-874. (with G. Frosali and G. Spiga).
Remarks on the solvability of the inhomogeneous abstract Cauchy problem for linear and semilinear evolution equations. Quaest. Math. 22 (1), (1999), 83—92.
Diffusion approximations of a linear kinetic equation with inelastic scattering: asymptotic analysis and numerical results. Transport Theory Statist. Phys. 28 (1999), no. 5, 475—498 (with L. Demeio).
Generation results for B-bounded semigroups, Annali di Matematica Pura ed Applicata, (IV), Vol. CLXXIV, (1998), 307-323
Spectral theorems of Voigt type for linear Boltzmann equation with external field. Transport Theory Statist. Phys. 27 (1998), no. 3-4, 241--255.
Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory. Math. Models Methods Appl. Sci. 8 (1998), no. 5, 851--874. (with G. Frosali and G. Spiga).
Singularly perturbed telegraph equations with applications in the random walk theory. J. Appl. Math. Stochastic Anal. 11 (1998), no. 1, 9--28. ( with J. Mika)
Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. J. Math. Anal. Appl. 205 (1997), no. 1, 216-238.
Some spectral properties of the linear Boltzmann equation of semiconductor theory with application to its asymptotic analysis. Proceedings of the Prague Mathematical Conference 1996, 7--12, Icaris, Prague, 1997.
Singularly perturbed linear and semilinear hyperbolic systems: kinetic theory approach to some folk theorems, Acta Applicandae Mathematicae, 49 (2), (1997), 199-228.
Asymptotic analysis of abstract linear kinetic equations. Math. Methods Appl. Sci. 19 (1996), no. 6, 481--505.
Singular perturbations of resonance type with applications to the kinetic theory. Recent developments in evolution equations (Glasgow, 1994), 53--67, Pitman Res. Notes Math. Ser., 324, Longman Sci. Tech., Harlow, 1995.
Asymptotic analysis of a model kinetic equation. Math. Models Methods Appl. Sci. 5 (1995), no. 7, 867—885 (with J.R. Mika).
Remark on a trace theorem for transmission problems. Math. Methods Appl. Sci. 18 (1995), no. 5, 413--421. (with A. Ligier).
Diffusion limit for a linear kinetic equation. Transport Theory Statist. Phys. 24 (1995), no. 1-3, 41--53.
Domains of fractional powers of operators arising in mixed boundary value problems in non-smooth domains and applications. Appl. Anal. 55 (1994), no. 1-2, 79—89.
Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Math. Methods Appl. Sci. 17 (1994), no. 13, 1071—1087 (with J.R. Mika).
Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Math. Models Methods Appl. Sci. 4 (1994), no. 1, 17--33. (with J.R. Mika).
On regularity of solutions to inner obstacle problems. Z. Anal. Anwendungen 12 (1993), no. 3, 401--404. (with J. Szczepaniak).
A counterexample in the theory of mixed boundary value problems for elliptic equations in nonsmooth domains. Demonstratio Math. 26 (1993), no. 2, 327--335
On asymptotics of solutions of elliptic mixed boundary value problems of second-order in domains with vanishing edges. SIAM J. Math. Anal. 23 (1992), no. 5, 1117-1124
On L2-solvability of mixed boundary value problems for elliptic equations in plane nonsmooth domains. J. Differential Equations 97 (1992), no. 1, 99-111
On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations. Proc. Roy. Soc. London Ser. A 433 (1991), no. 1887, 209-217 (with G.F.R Roach).
On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary. J. Differential Equations 79 (1989), no. 1, 111-131 (with G.F.R Roach).
Some contribution to the geometry of normed linear spaces. Math. Nachr. 139 (1988), 175--184.