Dynamics of a host-pathogen system on a bounded spatial domain

Feng Bin Wang, Junping Shi, Xingfu Zou

Research output: Contribution to journalJournal Article peer-review

44 Scopus citations

Abstract

We study a host-pathogen system in a bounded spatial habitat where the environment is closed. Extinction and persistence of the disease are investigated by appealing to theories of monotone dynamical systems and uniform persistence. We also carry out a bifurcation analysis for steady state solutions, and the results suggest that a backward bifurcation may occur when the parameters in the system are spatially dependent.

Original languageEnglish
Pages (from-to)2535-2560
Number of pages26
JournalCommunications on Pure and Applied Analysis
Volume14
Issue number6
DOIs
StatePublished - 01 11 2015

Keywords

  • Backward bifurcation
  • Extinction
  • Pathogen
  • Persistence
  • Steady states

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