Global stabilization and boundary control of generalized Fisher/KPP equation and application to diffusive SIS model
Global stabilization and boundary control of generalized Fisher/KPP equation and application to diffusive SIS model
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DOI：
10.1016/j.jde.2020.11.031
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发表时间：
2020-11
影响因子：
2.4
通讯作者：
Fang Wang;Lingmin Xue;Kun Zhao;Xiaoming Zheng
中科院分区：
文献类型：
--
作者：
Fang Wang;Lingmin Xue;Kun Zhao;Xiaoming Zheng
In this paper, the global stabilization of solutions to initial-boundary value problems for the generalized Fisher/KPP equation is studied. It is shown that 1) under the homogeneous Neumann boundary condition, equilibrium states determined by the generalized carrying capacity are globally asymptotically stable; 2) under the Dirichlet-type dynamic boundary condition, the dynamics of solutions is driven/controlled by the boundary data in the large-time limit. As an application, similar results are obtained for the diffusive susceptible-infected-susceptible (SIS) model in mathematical epidemiology.
