Edit Profile (opens in new tab) Banasiak, Jacek Co-Author Distance Author ID: banasiak.jacek Published as: Banasiak, Jacek; Banasiak, J. Homepage: https://www.up.ac.za/jacek-banasiak External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 153 Publications since 1984, including 7 Books and 3 Additional arXiv Preprints 9 Contributions as Editor Reviewing Activity: 47 Reviews Biographic References: 1 Publication Co-Authors: 60 Co-Authors with 106 Joint Publications 1,419 Co-Co-Authors all top 5 Co-Authors 54 single-authored 12 Lachowicz, Mirosław 11 Lamb, Wilson 10 Shindin, Sergey Konstantinovich 7 Arlotti, Luisa 6 Mika, Janusz R. 6 Moszyński, Marcin 6 Ouifki, Rachid 5 Falkiewicz, Aleksandra 5 Namayanja, Proscovia 5 Parumasur, Nabendra 4 Bobrowski, Adam 4 Goswami, Amartya 4 Joel, Luke O. 4 Kozakiewicz, Jan M. 3 Błoch, Adam 3 Frosali, Giovanni 3 Mokhtar-Kharroubi, Mustapha 3 Oukouomi Noutchie, Suares Clovis 3 Spiga, Giampiero 2 Anguelov, Roumen 2 Demeio, Lucio 2 Dumont, Yves 2 Laurençot, Philippe 2 Lods, Bertrand 2 Massoukou, Rodrigue Yves M’pika 2 Phongi, Eddy Kimba 2 Poka, David Wetsi 2 Puchalska, Aleksandra 2 Roach, Gary Francis 2 Rudnicki, Ryszard 2 Szymánska-Dȩbowska, Katarzyna 2 Tchamga, Milaine Sergine Seuneu 2 Tchoumi, Stéphane Yanick 2 Woldegerima, Woldegebriel Assefa 1 Abdulle, Assyr 1 Barletti, Luigi 1 Bright, Chelsea 1 Ciake, F. L. Ciake 1 Damlamian, Alain 1 Danquah, B. A. 1 Debbouche, Amar 1 Friedman, Avner 1 Groppi, Maria 1 Langer, Matthias 1 Ledzewicz, Urszula 1 Ligier, Agata 1 Lubuma, Jean Mbaro-Saman 1 Lungu, Edward M. 1 Manakova, Natal’ya Aleksandrovna 1 Ngwa, Gideon Akumah 1 Pichór, Katarzyna 1 Poka, W. D. 1 Sango, Mamadou 1 Schättler, Heinz Michael 1 Singh, Virath 1 Sviridyuk, Georgiĭ Anatol’evich 1 Szczepaniak, Jerzy 1 Teboh-Ewungkem, Miranda I. 1 Tomilov, Yuri 1 Yatat Djeumen, Ivric Valaire all top 5 Serials 16 Mathematical Methods in the Applied Sciences 12 Transport Theory and Statistical Physics 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Mathematical Analysis and Applications 6 Discrete and Continuous Dynamical Systems 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Evolution Equations 4 Mediterranean Journal of Mathematics 3 Applied Mathematics Letters 3 Mathematical Biosciences and Engineering 3 Kinetic and Related Models 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Semigroup Forum 2 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Physica D 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Zeszyty Naukowe Politechniki Łódzkiej. Matematyka 2 Taiwanese Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Springer Proceedings in Mathematics & Statistics 2 Biomath 2 Evolution Equations and Control Theory 2 Monographs and Research Notes in Mathematics 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Demonstratio Mathematica 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear Mathematical Physics 1 Lecture Notes in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Journal of Theoretical Biology 1 Modeling and Simulation in Science, Engineering and Technology 1 Springer Undergraduate Mathematics Series 1 Springer Monographs in Mathematics all top 5 Fields 78 Operator theory (47-XX) 67 Partial differential equations (35-XX) 46 Ordinary differential equations (34-XX) 45 Statistical mechanics, structure of matter (82-XX) 45 Biology and other natural sciences (92-XX) 23 Integral equations (45-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Fluid mechanics (76-XX) 10 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 5 Combinatorics (05-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 1,124 times in 570 Documents Cited by ▼ Year ▼ Perturbations of positive semigroups with applications. Zbl 1097.47038 Banasiak, Jacek; Arlotti, Luisa 131 2006 Methods of small parameter in mathematical biology. Zbl 1309.92012 Banasiak, Jacek; Lachowicz, Mirosław 70 2014 Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011 Banasiak, Jacek; Mika, Janusz R. 53 1998 A generalization of Desch-Schappacher-Webb criteria for chaos. Zbl 1084.47033 Banasiak, Jacek; Moszyński, Marcin 32 2005 Asynchronous exponential growth of a general structured population model. Zbl 1301.47055 Banasiak, Jacek; Pichór, Katarzyna; Rudnicki, Ryszard 31 2012 On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application. Zbl 1002.47021 Banasiak, J. 24 2001 Dynamics of birth-and-death processes with proliferation – stability and chaos. Zbl 1219.34014 Banasiak, Jacek; Moszyński, Marcin 24 2011 Coagulation, fragmentation and growth processes in a size structured population. Zbl 1178.35136 Banasiak, Jacek; Lamb, Wilson 22 2009 Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss. Zbl 1075.47023 Arlotti, Luisa; Banasiak, Jacek 22 2004 Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500 Mika, J. R.; Banasiak, J. 21 1995 Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems. Zbl 1355.92084 Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 18 2016 Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates. Zbl 1246.35200 Banasiak, Jacek; Lamb, Wilson 18 2012 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723 Banasiak, Jacek; Namayanja, Proscovia 17 2014 On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary. Zbl 0698.35046 Banasiak, J.; Roach, G. F. 17 1989 Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation. Zbl 1228.35261 Banasiak, Jacek; Lamb, Wilson 17 2011 On a non-uniqueness in fragmentation models. Zbl 1040.47054 Banasiak, J. 17 2002 Semigroup approach to diffusion and transport problems on networks. Zbl 1358.90018 Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 16 2016 Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056 Banasiak, Jacek; Lachowicz, Mirosław 16 2002 Shattering and non-uniqueness in fragmentation models – an analytic approach. Zbl 1129.82034 Banasiak, J. 15 2006 Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates. Zbl 1238.34019 Banasiak, Jacek 15 2012 Transport processes with coagulation and strong fragmentation. Zbl 1235.35275 Banasiak, Jacek 15 2012 Conservative and shattering solutions for some classes of fragmentation models. Zbl 1090.47026 Banasiak, Jacek 14 2004 A new approach to transport equations associated to a regular field: Trace results and well-posedness. Zbl 1198.47055 Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 13 2009 The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth. Zbl 1279.34068 Banasiak, Jacek; Lamb, Wilson 13 2012 On the application of substochastic semigroup theory to fragmentation models with mass loss. Zbl 1059.47046 Banasiak, Jacek; Lamb, Wilson 13 2003 Aggregation in age and space structured population models: an asymptotic analysis approach. Zbl 1241.35206 Banasiak, J.; Goswami, A.; Shindin, S. 13 2011 Some transport and diffusion processes on networks and their graph realizability. Zbl 1311.05072 Banasiak, J.; Falkiewicz, A. 12 2015 Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001 Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 12 2020 On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003 Banasiak, Jacek; Lachowicz, Mirosław 11 2013 On general transport equations with abstract boundary conditions. The case of divergence free force field. Zbl 1230.47073 Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 11 2011 Inelastic scattering models in transport theory and their small mean free path analysis. Zbl 0983.82013 Banasiak, J.; Frosali, G.; Spiga, G. 11 2000 Semigroups for generalized birth-and-death equations in \(l^p\) spaces. Zbl 1178.47027 Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2006 Strong fragmentation and coagulation with power-law rates. Zbl 1360.35279 Banasiak, Jacek; Lamb, Wilson; Langer, Matthias 10 2013 Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022 Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2007 Mathematical modelling in one dimension. An introduction via difference and differential equations. Zbl 1290.00018 Banasiak, Jacek 9 2013 Mathematical properties of inelastic scattering models in linear kinetic theory. Zbl 1010.82030 Banasiak, Jacek 9 2000 Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090 Banasiak, J.; Mika, J. R. 8 1994 Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. Zbl 0879.35146 Banasiak, J. 8 1997 Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system. Zbl 1239.34064 Banasiak, Jacek; Bobrowski, Adam 8 2009 On a diffusion-kinetic equation arising in extended kinetic theory. Zbl 0972.35092 Banasiak, Jacek 8 2000 Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory. Zbl 0957.82032 Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 8 1998 Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002 Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 8 2020 On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations. Zbl 0735.35025 Banasiak, Jacek; Roach, Gary F. 7 1991 Kinetic models in natural sciences. Zbl 1335.47045 Banasiak, Jacek 7 2015 Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126 Banasiak, J.; Mika, J. R. 7 1994 Some contribution to the geometry of normed linear spaces. Zbl 0672.46011 Banasiak, Jacek 7 1988 On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Zbl 1422.92160 Ngwa, Gideon A.; Teboh-Ewungkem, Miranda I.; Dumont, Yves; Ouifki, Rachid; Banasiak, Jacek 7 2019 Effective and ineffective treatment in a malaria model for humans in an endemic region. Zbl 1438.92054 Danquah, B. A.; Chirove, F.; Banasiak, Jacek 7 2019 Conservative and non-conservative Boltzmann-type models of semiconductor theory. Zbl 1139.47312 Arlotti, L.; Banasiak, J.; Ciake, F. L. Ciake 6 2006 A singularly perturbed SIS model with age structure. Zbl 1269.92061 Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław 6 2013 Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation. Zbl 1362.92015 Banasiak, Jacek; Oukouomi Noutchie, Suares Clovis; Rudnicki, Ryszard 6 2009 Hypercyclicity and chaoticity spaces of \(C_0\) semigroups. Zbl 1152.47008 Banasiak, Jacek; Moszyński, Marcin 6 2008 The big unknown: the asymptomatic spread of COVID-19. Zbl 1511.92066 Anguelov, Roumen; Banasiak, Jacek; Bright, Chelsea; Lubuma, Jean; Ouifki, Rachid 6 2020 Singularly perturbed linear and semilinear hyperbolic systems: Kinetic theory approach to some folk’s theorems. Zbl 0893.35009 Banasiak, J. 5 1997 Pseudospectral Laguerre approximation of transport-fragmentation equations. Zbl 1334.65164 Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S. 5 2014 A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups. Zbl 1325.47085 Banasiak, Jacek; Bobrowski, Adam 5 2015 Chaos in Kolmogorov systems with proliferation – general criteria and applications. Zbl 1281.47027 Banasiak, J. 5 2011 On an irregular dynamics of certain fragmentation semigroups. Zbl 1273.47066 Banasiak, Jacek 5 2011 Topological chaos: When topology meets medicine. Zbl 1075.47024 Banasiak, J.; Lachowicz, M.; Moszyński, M. 5 2003 Chaotic linear dynamical systems with applications. Zbl 1035.37014 Banasiak, J.; Lachowicz, M. 5 2002 Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics. Zbl 1474.34399 Banasiak, J.; Joel, L. O.; Shindin, S. 5 2019 On transport equations driven by a non-divergence-free force field. Zbl 1157.35493 Arlotti, L.; Banasiak, J.; Lods, B. 5 2007 Around the Kato generation theorem for semigroups. Zbl 1115.47037 Banasiak, Jacek; Lachowicz, Mirosław 5 2007 Nonautonomous fragmentation equation via evolution semigroups. Zbl 1213.47045 Arlotti, L.; Banasiak, J. 5 2010 Controlling number of particles in fragmentation equations. Zbl 1219.47145 Banasiak, J.; Oukouomi Noutchie, S. C. 5 2010 Epidemiological models with quadratic equation for endemic equilibria – a bifurcation atlas. Zbl 1471.34097 Ouifki, Rachid; Banasiak, Jacek 5 2020 Mathematical analysis of the impact of transmission-blocking drugs on the population dynamics of malaria. Zbl 1508.92310 Woldegerima, Woldegebriel Assefa; Ouifki, Rachid; Banasiak, Jacek 5 2021 Asymptotic analysis of a model kinetic equation. Zbl 0845.34063 Mika, Janusz R.; Banasiak, Jacek 4 1995 Explicit formulae for limit periodic flows on networks. Zbl 1382.35321 Banasiak, J. 4 2016 Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations. Zbl 1301.92059 Banasiak, Jacek; Goswami, Amartya; Shindin, Sergey 4 2014 Delayed stability switches in singularly perturbed predator-prey models. Zbl 1418.34113 Banasiak, J.; Tchamga, M. S. Seuneu 4 2017 Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: Reference manual. Zbl 1029.76049 Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 4 2002 On well-posedness of a Boltzmann-like semiconductor model. Zbl 1063.47030 Banasiak, Jacek 4 2003 A complete description of dynamics generated by birth-and-death problem: a semigroup approach. Zbl 1070.47032 Banasiak, Jacek 4 2004 Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results. Zbl 0943.35070 Banasiak, Jacek; Demeio, Lucio 4 1999 A singularly perturbed age structured SIRS model with fast recovery. Zbl 1308.34067 Massoukou, Rodrigue Yves M’pika; Banasiak, Jacek 4 2014 Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344 Banasiak, J. 4 2007 Some mathematical tools for modelling malaria: a subjective survey. Zbl 1505.92186 Banasiak, Jacek; Ouifki, Rachid; Woldegerima, Woldegebriel Assefa 4 2021 A singular limit for an age structured mutation problem. Zbl 1352.35197 Banasiak, Jacek; Falkiewicz, Aleksandra 4 2017 Positive solutions to Sobolev type equations with relatively \(p\)-sectorial operators. Zbl 07293385 Banasiak, Jacek; Manakova, Natal’ya Aleksandrovna; Sviridyuk, Georgiĭ Anatol’evich 4 2020 Diffusion limit for a linear kinetic equation. Zbl 0821.45004 Mika, J. R.; Banasiak, J. 3 1995 Asymptotic analysis of abstract linear kinetic equations. Zbl 0855.34066 Banasiak, J. 3 1996 Canard-type solutions in epidemiological models. Zbl 1379.34042 Kimba Phongi, Eddy; Banasiak, Jacek 3 2015 Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes. Zbl 1096.47064 Banasiak, Jacek; Mokhtar-Kharroubi, Mustapha 3 2005 Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models. Zbl 1103.34048 Banasiak, J. 3 2006 Positivity in natural sciences. Zbl 1264.92001 Banasiak, Jacek 3 2008 Asymptotic analysis of singularly perturbed dynamical systems of kinetic type. Zbl 1192.35013 Banasiak, Jacek 3 2009 Relative entropy and discrete Poincaré inequalities for reducible matrices. Zbl 1248.37026 Banasiak, Jacek; Namayanja, Proscovia 3 2012 Generation results for \(B\)-bounded semigroups. Zbl 1005.47042 Banasiak, J. 3 1998 Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model. Zbl 1333.92042 Banasiak, Jacek; Goswami, Amartya 3 2015 Analysis and simulations of the discrete fragmentation equation with decay. Zbl 1402.39009 Banasiak, J.; Joel, L. O.; Shindin, S. 3 2018 Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385 Banasiak, Jacek; Błoch, Adam 3 2022 Transport on networks – a playground of continuous and discrete mathematics in population dynamics. Zbl 1430.92065 Banasiak, Jacek; Puchalska, Aleksandra 3 2019 Logarithmic norms and regular perturbations of differential equations. Zbl 1450.34038 Banasiak, Jacek 3 2019 Generalized network transport and Euler-Hille formula. Zbl 1471.35287 Banasiak, Jacek; Puchalska, Aleksandra 3 2018 On asymptotics of solutions of elliptic mixed boundary value problems of second-order in domains with vanishing edges. Zbl 0794.35037 Banasiak, Jacek 2 1992 A counterexample in the theory of mixed boundary value problems for elliptic equations in non-smooth domains. Zbl 0789.35041 Banasiak, Jacek 2 1993 On \(L_ 2\)-solvability of mixed boundary value problems for elliptic equations in plane non-smooth domains. Zbl 0763.35027 Banasiak, Jacek 2 1992 Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Zbl 1302.35006 2 2015 Diffusion approximation of an inelastic scattering model in linear kinetic theory. Zbl 1034.82045 Banasiak, Jacek 2 2000 Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385 Banasiak, Jacek; Błoch, Adam 3 2022 Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness. Zbl 1496.35404 Banasiak, Jacek; Błoch, Adam 2 2022 On spectral gaps of growth-fragmentation semigroups in higher moment spaces. Zbl 1508.47095 Mokhtar-Kharroubi, Mustapha; Banasiak, Jacek 2 2022 Explicit solutions to some fragmentation equations with growth or decay. Zbl 1509.45007 Banasiak, Jacek; Poka, David Wetsi; Shindin, Sergey 1 2022 Mathematical analysis of the impact of transmission-blocking drugs on the population dynamics of malaria. Zbl 1508.92310 Woldegerima, Woldegebriel Assefa; Ouifki, Rachid; Banasiak, Jacek 5 2021 Some mathematical tools for modelling malaria: a subjective survey. Zbl 1505.92186 Banasiak, Jacek; Ouifki, Rachid; Woldegerima, Woldegebriel Assefa 4 2021 A note on the Tikhonov theorem on an infinite interval. Zbl 1468.34088 Banasiak, Jacek 2 2021 How to be positive in natural sciences? Zbl 07402424 Banasiak, Jacek 1 2021 Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001 Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 12 2020 Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002 Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 8 2020 The big unknown: the asymptomatic spread of COVID-19. Zbl 1511.92066 Anguelov, Roumen; Banasiak, Jacek; Bright, Chelsea; Lubuma, Jean; Ouifki, Rachid 6 2020 Epidemiological models with quadratic equation for endemic equilibria – a bifurcation atlas. Zbl 1471.34097 Ouifki, Rachid; Banasiak, Jacek 5 2020 Positive solutions to Sobolev type equations with relatively \(p\)-sectorial operators. Zbl 07293385 Banasiak, Jacek; Manakova, Natal’ya Aleksandrovna; Sviridyuk, Georgiĭ Anatol’evich 4 2020 Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients. Zbl 1467.35329 Banasiak, Jacek 2 2020 Some remarks on the renormalization group and Chapman-Enskog type methods in singularly perturbed problems. Zbl 1472.34107 Banasiak, Jacek 2 2020 On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Zbl 1422.92160 Ngwa, Gideon A.; Teboh-Ewungkem, Miranda I.; Dumont, Yves; Ouifki, Rachid; Banasiak, Jacek 7 2019 Effective and ineffective treatment in a malaria model for humans in an endemic region. Zbl 1438.92054 Danquah, B. A.; Chirove, F.; Banasiak, Jacek 7 2019 Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics. Zbl 1474.34399 Banasiak, J.; Joel, L. O.; Shindin, S. 5 2019 Transport on networks – a playground of continuous and discrete mathematics in population dynamics. Zbl 1430.92065 Banasiak, Jacek; Puchalska, Aleksandra 3 2019 Logarithmic norms and regular perturbations of differential equations. Zbl 1450.34038 Banasiak, Jacek 3 2019 Canard solutions in equations with backward bifurcations of the quasi-steady state manifold. Zbl 1444.34069 Banasiak, J.; Tchamga, M. S. Seuneu; Szymańska-Dȩbowska, K. 2 2019 The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020 Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey 2 2019 Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations – a survey. Zbl 1409.35205 Banasiak, Jacek 1 2019 Analysis and simulations of the discrete fragmentation equation with decay. Zbl 1402.39009 Banasiak, J.; Joel, L. O.; Shindin, S. 3 2018 Generalized network transport and Euler-Hille formula. Zbl 1471.35287 Banasiak, Jacek; Puchalska, Aleksandra 3 2018 Causal relations in support of implicit evolution equations. Zbl 1488.34412 Sauer, N.; Banasiak, J.; Lee, W.-S. 2 2018 Population models with projection matrix with some negative entries – a solution to the Natchez paradox. Zbl 1400.92425 Banasiak, J. 1 2018 Delayed stability switches in singularly perturbed predator-prey models. Zbl 1418.34113 Banasiak, J.; Tchamga, M. S. Seuneu 4 2017 A singular limit for an age structured mutation problem. Zbl 1352.35197 Banasiak, Jacek; Falkiewicz, Aleksandra 4 2017 Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems. Zbl 1355.92084 Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 18 2016 Semigroup approach to diffusion and transport problems on networks. Zbl 1358.90018 Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 16 2016 Explicit formulae for limit periodic flows on networks. Zbl 1382.35321 Banasiak, J. 4 2016 Some transport and diffusion processes on networks and their graph realizability. Zbl 1311.05072 Banasiak, J.; Falkiewicz, A. 12 2015 Kinetic models in natural sciences. Zbl 1335.47045 Banasiak, Jacek 7 2015 A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups. Zbl 1325.47085 Banasiak, Jacek; Bobrowski, Adam 5 2015 Canard-type solutions in epidemiological models. Zbl 1379.34042 Kimba Phongi, Eddy; Banasiak, Jacek 3 2015 Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model. Zbl 1333.92042 Banasiak, Jacek; Goswami, Amartya 3 2015 Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Zbl 1302.35006 2 2015 Methods of small parameter in mathematical biology. Zbl 1309.92012 Banasiak, Jacek; Lachowicz, Mirosław 70 2014 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723 Banasiak, Jacek; Namayanja, Proscovia 17 2014 Pseudospectral Laguerre approximation of transport-fragmentation equations. Zbl 1334.65164 Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S. 5 2014 Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations. Zbl 1301.92059 Banasiak, Jacek; Goswami, Amartya; Shindin, Sergey 4 2014 A singularly perturbed age structured SIRS model with fast recovery. Zbl 1308.34067 Massoukou, Rodrigue Yves M’pika; Banasiak, Jacek 4 2014 On the existence of moments of solutions to fragmentation equations. Zbl 1312.35018 Banasiak, Jacek; Lamb, Wilson 2 2014 On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003 Banasiak, Jacek; Lachowicz, Mirosław 11 2013 Strong fragmentation and coagulation with power-law rates. Zbl 1360.35279 Banasiak, Jacek; Lamb, Wilson; Langer, Matthias 10 2013 Mathematical modelling in one dimension. An introduction via difference and differential equations. Zbl 1290.00018 Banasiak, Jacek 9 2013 A singularly perturbed SIS model with age structure. Zbl 1269.92061 Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław 6 2013 Asynchronous exponential growth of a general structured population model. Zbl 1301.47055 Banasiak, Jacek; Pichór, Katarzyna; Rudnicki, Ryszard 31 2012 Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates. Zbl 1246.35200 Banasiak, Jacek; Lamb, Wilson 18 2012 Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates. Zbl 1238.34019 Banasiak, Jacek 15 2012 Transport processes with coagulation and strong fragmentation. Zbl 1235.35275 Banasiak, Jacek 15 2012 The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth. Zbl 1279.34068 Banasiak, Jacek; Lamb, Wilson 13 2012 Relative entropy and discrete Poincaré inequalities for reducible matrices. Zbl 1248.37026 Banasiak, Jacek; Namayanja, Proscovia 3 2012 Dynamics of birth-and-death processes with proliferation – stability and chaos. Zbl 1219.34014 Banasiak, Jacek; Moszyński, Marcin 24 2011 Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation. Zbl 1228.35261 Banasiak, Jacek; Lamb, Wilson 17 2011 Aggregation in age and space structured population models: an asymptotic analysis approach. Zbl 1241.35206 Banasiak, J.; Goswami, A.; Shindin, S. 13 2011 On general transport equations with abstract boundary conditions. The case of divergence free force field. Zbl 1230.47073 Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 11 2011 Chaos in Kolmogorov systems with proliferation – general criteria and applications. Zbl 1281.47027 Banasiak, J. 5 2011 On an irregular dynamics of certain fragmentation semigroups. Zbl 1273.47066 Banasiak, Jacek 5 2011 Blow-up of solutions to some coagulation and fragmentation equations with growth. Zbl 1306.35008 Banasiak, Jacek 1 2011 Nonautonomous fragmentation equation via evolution semigroups. Zbl 1213.47045 Arlotti, L.; Banasiak, J. 5 2010 Controlling number of particles in fragmentation equations. Zbl 1219.47145 Banasiak, J.; Oukouomi Noutchie, S. C. 5 2010 Coagulation, fragmentation and growth processes in a size structured population. Zbl 1178.35136 Banasiak, Jacek; Lamb, Wilson 22 2009 A new approach to transport equations associated to a regular field: Trace results and well-posedness. Zbl 1198.47055 Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 13 2009 Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system. Zbl 1239.34064 Banasiak, Jacek; Bobrowski, Adam 8 2009 Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation. Zbl 1362.92015 Banasiak, Jacek; Oukouomi Noutchie, Suares Clovis; Rudnicki, Ryszard 6 2009 Asymptotic analysis of singularly perturbed dynamical systems of kinetic type. Zbl 1192.35013 Banasiak, Jacek 3 2009 Multiple scales problems in biomathematics, mechanics, physics and numerics, CIMPA school, Cape Town, South Africa, August 6–18, 2007. Zbl 1171.65002 1 2009 Conservativeness in nonlocal fragmentation models. Zbl 1185.74008 Banasiak, Jacek; Oukouomi Noutchie, S. C. 1 2009 Hypercyclicity and chaoticity spaces of \(C_0\) semigroups. Zbl 1152.47008 Banasiak, Jacek; Moszyński, Marcin 6 2008 Positivity in natural sciences. Zbl 1264.92001 Banasiak, Jacek 3 2008 Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022 Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2007 On transport equations driven by a non-divergence-free force field. Zbl 1157.35493 Arlotti, L.; Banasiak, J.; Lods, B. 5 2007 Around the Kato generation theorem for semigroups. Zbl 1115.47037 Banasiak, Jacek; Lachowicz, Mirosław 5 2007 Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344 Banasiak, J. 4 2007 Perturbations of positive semigroups with applications. Zbl 1097.47038 Banasiak, Jacek; Arlotti, Luisa 131 2006 Shattering and non-uniqueness in fragmentation models – an analytic approach. Zbl 1129.82034 Banasiak, J. 15 2006 Semigroups for generalized birth-and-death equations in \(l^p\) spaces. Zbl 1178.47027 Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2006 Conservative and non-conservative Boltzmann-type models of semiconductor theory. Zbl 1139.47312 Arlotti, L.; Banasiak, J.; Ciake, F. L. Ciake 6 2006 Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models. Zbl 1103.34048 Banasiak, J. 3 2006 On a coagulation and fragmentation equation with mass loss. Zbl 1125.45009 Banasiak, Jacek; Lamb, Wilson 2 2006 A generalization of Desch-Schappacher-Webb criteria for chaos. Zbl 1084.47033 Banasiak, Jacek; Moszyński, Marcin 32 2005 Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes. Zbl 1096.47064 Banasiak, Jacek; Mokhtar-Kharroubi, Mustapha 3 2005 Diffusion approximation of linear kinetic equations with non-equilibrium data-computational experiments. Zbl 1107.82074 Banasiak, J.; Kozakiewicz, J. M.; Parumasur, N. 1 2005 Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss. Zbl 1075.47023 Arlotti, Luisa; Banasiak, Jacek 22 2004 Conservative and shattering solutions for some classes of fragmentation models. Zbl 1090.47026 Banasiak, Jacek 14 2004 A complete description of dynamics generated by birth-and-death problem: a semigroup approach. Zbl 1070.47032 Banasiak, Jacek 4 2004 On the application of substochastic semigroup theory to fragmentation models with mass loss. Zbl 1059.47046 Banasiak, Jacek; Lamb, Wilson 13 2003 Topological chaos: When topology meets medicine. Zbl 1075.47024 Banasiak, J.; Lachowicz, M.; Moszyński, M. 5 2003 On well-posedness of a Boltzmann-like semiconductor model. Zbl 1063.47030 Banasiak, Jacek 4 2003 Multiple solutions to linear kinetic equations. Zbl 1029.82015 Banasiak, J. 1 2003 Solvability of linear kinetic equations with multi-energetic inelastic scattering. Zbl 1068.82019 Banasiak, Jacek; Groppi, Maria 1 2003 On a non-uniqueness in fragmentation models. Zbl 1040.47054 Banasiak, J. 17 2002 Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056 Banasiak, Jacek; Lachowicz, Mirosław 16 2002 Chaotic linear dynamical systems with applications. Zbl 1035.37014 Banasiak, J.; Lachowicz, M. 5 2002 Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: Reference manual. Zbl 1029.76049 Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 4 2002 On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application. Zbl 1002.47021 Banasiak, J. 24 2001 On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering. Zbl 1221.82079 Banasiak, Jacek 1 2001 On the existence of propagators in stationary Wigner equation without velocity cut-off. Zbl 0990.82019 Banasiak, Jacek; Barletti, Luigi 1 2001 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 711 Authors 81 Banasiak, Jacek 18 Mokhtar-Kharroubi, Mustapha 17 Lachowicz, Mirosław 15 Bobrowski, Adam 14 Arlotti, Luisa 13 Rudnicki, Ryszard 11 Conejero, José Alberto 11 Lamb, Wilson 11 Murillo-Arcila, Marina 10 Laurençot, Philippe 10 Lods, Bertrand 10 Shindin, Sergey Konstantinovich 9 Kozitsky, Yuri Vasil’evich 9 Oukouomi Noutchie, Suares Clovis 8 Gabriel, Pierre 8 Peris, Alfredo 8 Spiga, Giampiero 7 Doungmo Goufo, Emile Franc 7 Kostić, Marko 7 Li, Yongxiang 7 Parumasur, Nabendra 6 Chen, Pengyu 6 Giri, Ankik Kumar 6 Tyran-Kamińska, Marta 5 Bellomo, Nicola 5 Chouhad, Nadia 5 Escobedo Martínez, Miguel 5 Frosali, Giovanni 5 Kramar Fijavž, Marjeta 5 Kumar, Rajesh 5 Leszczyński, Henryk 5 Namayanja, Proscovia 5 Ouifki, Rachid 5 Pichór, Katarzyna 5 Velázquez, Juan J. L. 4 Bernard, Étienne 4 Bisi, Marzia 4 Budde, Christian 4 Choudhary, Kapil Kumar 4 De Angelis, Elena 4 Doumic, Marie 4 Falkiewicz, Aleksandra 4 Ferreira, Marina A. 4 Glück, Jochen 4 Goswami, Amartya 4 Groppi, Maria 4 Kumar, Jitendra 4 Kumar, Rajiv 4 Langer, Matthias 4 Martini, Horst 4 Moszyński, Marcin 4 Ngwa, Gideon Akumah 4 Parisot, Martin 4 Puchalska, Aleksandra 4 Saha, Jitraj 4 Spirova, Margarita Georgieva 4 Teboh-Ewungkem, Miranda I. 4 Woldegerima, Woldegebriel Assefa 3 Ackleh, Azmy S. 3 Alonso, Javier 3 Bellouquid, Abdelghani 3 Bertoin, Jean 3 Błoch, Adam 3 Boulanouar, Mohamed 3 Burini, Diletta 3 Capasso, Vincenzo 3 Dolfin, Marina 3 Engel, Klaus-Jochen 3 Gerasimenko, Viktor Ivanovich 3 Ghosh, Debdulal 3 Gwiżdż, Piotr 3 Hafez, Ramy Mahmoud 3 Ji, Lizhen 3 Li, Qiang 3 Lizama, Carlos 3 Lubuma, Jean Mbaro-Saman 3 Lukkarinen, Jani 3 Manakova, Natal’ya Aleksandrovna 3 Mangino, Elisabetta M. 3 Massoukou, Rodrigue Yves M’pika 3 McBride, Adam C. 3 Mischler, Stéphane 3 Nota, Alessia 3 Rodenas, Francisco 3 Singh, Mehakpreet 3 Sviridyuk, Georgiĭ Anatol’evich 3 Topolski, Krzysztof A. 3 Totaro, Silvia 3 Walker, Christoph 3 Walker, Gavin 3 Weber, Andreas 3 Youssri, Youssri H. 2 Abbas, Muhammad Mohsin 2 Abbasbandy, Saeid 2 Ali, Mashkoor 2 Ali, Norhashidah Hj. Mohd. 2 Aloy, R. 2 Aroza, Javier 2 Asharaf, Noufal 2 Ashyralyev, Allaberen ...and 611 more Authors all top 5 Cited in 199 Serials 29 Mathematical Methods in the Applied Sciences 27 Journal of Mathematical Analysis and Applications 25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 18 Applied Mathematics and Computation 16 Transport Theory and Statistical Physics 15 Journal of Evolution Equations 11 Kinetic and Related Models 9 Journal of Functional Analysis 9 Semigroup Forum 9 Mediterranean Journal of Mathematics 8 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems 8 Discrete and Continuous Dynamical Systems. 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Neuvième Série 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Applicationes Mathematicae 2 Turkish Journal of Mathematics 2 Journal of Difference Equations and Applications 2 Vietnam Journal of Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Qualitative Theory of Dynamical Systems 2 Journal of Applied Mathematics and Computing 2 Mathematical Modelling of Natural Phenomena 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. 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