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 language | English |
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Pages (from-to) | 2535-2560 |
Number of pages | 26 |
Journal | Communications on Pure and Applied Analysis |
Volume | 14 |
Issue number | 6 |
DOIs | |
State | Published - 01 11 2015 |
Keywords
- Backward bifurcation
- Extinction
- Pathogen
- Persistence
- Steady states