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Dynamical Analysis of Infectious Diseases in Spatially Heterogeneous Environments

In: Mathematical Modeling, Simulation, Visualization and e-Learning

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  • J. M. Tchuenche

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.

Suggested Citation

  • J. M. Tchuenche, 2008. "Dynamical Analysis of Infectious Diseases in Spatially Heterogeneous Environments," Springer Books, in: Dialla Konaté (ed.), Mathematical Modeling, Simulation, Visualization and e-Learning, pages 239-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-74339-2_15
    DOI: 10.1007/978-3-540-74339-2_15
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