Cannibalism may control disease in predator population: result drawn from a model based study. (14th July 2014)

• Record Type: Journal Article
• Authors: Biswas, Santosh; Chatterjee, Samrat; Chattopadhyay, Joydev
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 11(2015:Jul. 30)
• Page Start: 2272
• Page End: 2290
• Publication Date: 2014-07-14
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3220
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3220-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma3220-para-0001">In the present study, we propose and analyze a predator–prey system with disease in the predator population. To understand the role of cannibalism, we modify the model considering predator population is of cannibalistic type. Local and global stability around the biologically feasible equilibria are studied. The conditions for the persistence of the system are worked out. We also analyze and compare the community structure of the model systems with the help of ecological and disease basic reproduction numbers. Finally, through numerical simulation, we observe that inclusion of cannibalism in predator population may control the disease transmission in the susceptible predator population. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>