Dynamical Analysis of Infectious Diseases in Spatially Heterogeneous Environments

J. M. Tchuenche

A chapter in Mathematical Modeling, Simulation, Visualization and e-Learning, 2008, pp 239-251 from Springer

Abstract: Over many decades, mathematical biology has been the subject of many beautiful modeling experiments and a proving ground for a wealth of mathematical theories, both linear and non-linear. We analyze a malaria model first proposed in [10] using functional analytical technique — crude estimates of solutions to the model equations are given, a priori bounds of some parameters obtained as well as stability result. We also study the dynamics of infected individuals in the indirectly transmitted model when the total population equals that of mosquitoes.

Keywords: Heterogeneous Environment; Endemic Equilibrium; Infected Mosquito; Disease Free Equilibrium; Capita Rate (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-74339-2_15

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DOI: 10.1007/978-3-540-74339-2_15

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