*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.*Singularly perturbed population models with reducible migration matrix 1. Sova-Kurtz theorem and the convergence to the aggregated model*.*Discrete Contin. Dyn. Syst-B.*35 (2015), no. 2, 617–635 (with A. Goswami).*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)*Strong**fragmentation 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)- Transport processes with coagulation and strong fragmentation,
*Discrete and Continuous Dynamical Systems - Series B*17 (2), (2012), 445-472 *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 l*, Semigroup Forum 73(2), (2006), 175–193, (with M. Lachowicz & M. Moszynski).^{p}spaces*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. 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