Abstract
In this discussion we consider an autonomous parabolic epidemic 2-dimensional system modelling the dynamics of transmission of immunizing diseases for a closed population into bounded regular domain. Our model takes into account diffusion of population with external influx as well as one class of infected individuals. We study the well-posedness two-component diffusion equations including external supplies with Neumann conditions using upper/lower solutions and analytic semigroups. In case of constant population or not, with non-oscillatory solution and constant diffusion, this problem admits travelling wave solutions whose minimum wave speed is surveyed here.
Recommended Citation
Kouakep, Yannick T.
(2016).
Upper, Lower Solutions and Analytic Semigroups For a Model with Diffusion,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
Iss.
1, Article 26.
Available at:
https://digitalcommons.pvamu.edu/aam/vol11/iss1/26
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