Dynamics of a nonlocal diffusive logistic model with free boundaries in time periodic environment
Weiyi Zhang, Zuhan Liu, Ling Zhou
Abstract
<p style='text-indent:20px;'>In this paper we study a nonlocal diffusion model with double free boundaries in time periodic environment, which is the natural extension of the free boundary model in [<xref ref-type="bibr" rid="b17">17</xref>], where local diffusion is used to describe the population dispersal. We give the existence and uniqueness of global solution and consider the properties of principle eigenvalue of time-periodic parabolic-type eigenvalue problem. With the help of attractivity of time periodic solutions, we establish a spreading-vanishing dichotomy. The sharp criteria for spreading and vanishing are also obtained.
Topics & Concepts
UniquenessMathematicsEigenvalues and eigenvectorsBoundary (topology)Extension (predicate logic)Mathematical analysisType (biology)DiffusionPopulationDynamics (music)Applied mathematicsPhysicsComputer scienceGeologyDemographyProgramming languageAcousticsThermodynamicsPaleontologySociologyQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions