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Spatiotemporal dynamics of an ecoepidemiological model with standard incidence
BANIBRATA MUKHOPADHYAY, R BHATTACHARYYA
Published in WORLD SCIENTIFIC PUBL CO PTE LTD
2007
Volume: 7
   
Issue: 2
Pages: 175 - 197
Abstract
We analyze a mathematical model of predator-prey interaction where the prey population is infected with a viral disease. Infection in the prey population is assumed to follow standard incidence. The dynamical behavior of the system is studied in terms of stability aspects. To model the gestation lag of the predator species and the spatially heterogeneous characteristics of an ecological population, we incorporate the concept of diffusionally coupled delay into the system. The bifurcation behavior of the delayed homogeneous system is studied. The existence of traveling wave solutions for the delay diffusion model is established. Numerical simulations are performed to justify analytical findings.
About the journal
JournalJOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
ISSN0219-5194