On a model for epidemic spread with interpopulation contact and repellent taxis

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    We study a PDE model for dynamics of susceptible-infected interactions. The dispersal of susceptibles is via diffusion and repellent taxis as they move away from the increasing density of infected. The diffusion of infected is a nonlinear, possibly degenerating term in nondivergence form. We prove the existence of so-called weak-strong solutions in 1D for a positive susceptible initial population. For dimension $N\geq 2$ and nonnegative susceptible initial density we show the existence of supersolutions. Numerical simulations are performed for different scenarios and illustrate the space-time behaviour of solutions.


    Original languageEnglish
    TypeResearch paper
    Publication statusPublished - 06 Feb 2019

      Research areas

    • math.AP, 35Q92, 35K55, 92D30

    ID: 164944306