Dynamics of a predator-prey model with disease in the predator

The present investigation deals with a predator–prey model with disease that spreads among the predator species only. The predator species is split out into two groups—the susceptible predator and the infected predator both of which feeds on prey species. The stability and bifurcation analyses are c...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 37; no. 16; pp. 2429 - 2450
Main Authors Pal, Pallav Jyoti, Haque, Mainul, Mandal, Prashanta Kumar
Format Journal Article
LanguageEnglish
Published Freiburg Blackwell Publishing Ltd 15.11.2014
Wiley Subscription Services, Inc
Subjects
Bifurcation theory
Dynamics
Eco-epidemiology
global stability
Hopf bifurcation
Manifolds
Mathematical models
periodic solutions
permanence
Predators
Quantitative analysis
Spreads
Stability
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Summary:The present investigation deals with a predator–prey model with disease that spreads among the predator species only. The predator species is split out into two groups—the susceptible predator and the infected predator both of which feeds on prey species. The stability and bifurcation analyses are carried out and discussed at length. On the basis of the normal form theory and center manifold reduction, the explicit formulae are derived to determine stability and direction of Hopf bifurcating periodic solution. An extensive quantitative analysis has been performed in order to validate the applicability of our model under consideration. Copyright © 2013 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-SDPV8T74-L
istex:EA0B77615491470530F2563E9874EF7B5211FEB2
ArticleID:MMA2988
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.2988