Convergence of a class of nonlinear time delays reaction-diffusion equations

Stability under a variational convergence of nonlinear time delays reaction-diffusion equations is discussed. Problems considered cover various models of population dynamics or diseases in heterogeneous environments where delays terms may depend on the space variable. As a consequence a stochastic h...

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Bibliographic Details
Published in:Nonlinear differential equations and applications 2020, Vol.27 (2), Article 20
Main Authors: Anza Hafsa, Omar, Mandallena, Jean Philippe, Michaille, Gérard
Format: Article
Language:English
Subjects:
Analysis
Convergence
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinear equations
Reaction-diffusion equations
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Summary:Stability under a variational convergence of nonlinear time delays reaction-diffusion equations is discussed. Problems considered cover various models of population dynamics or diseases in heterogeneous environments where delays terms may depend on the space variable. As a consequence a stochastic homogenization theorem is established and applied to vector disease and logistic models. The results illustrate the interplay between the growth rates and the time delays which are mixed in the homogenized model.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-020-0626-y