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Biology

Prairie View A&M University

Applications and Applied Mathematics: An International Journal (AAM)

Journal

Diffusion

Publication Year

Articles 1 - 2 of 2

Full-Text Articles in Life Sciences

Switching Effects Driven By Predation On Diffusive Predator Prey System, Anal Chatterjee, Samares Pal Jun 2021

Switching Effects Driven By Predation On Diffusive Predator Prey System, Anal Chatterjee, Samares Pal

Applications and Applied Mathematics: An International Journal (AAM)

No abstract provided.


Upper, Lower Solutions And Analytic Semigroups For A Model With Diffusion, Yannick T. Kouakep Jun 2016

Upper, Lower Solutions And Analytic Semigroups For A Model With Diffusion, Yannick T. Kouakep

Applications and Applied Mathematics: An International Journal (AAM)

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.