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Cannibalism may control disease in predator population: result drawn from a model based study
Author(s) -
Biswas Santosh,
Chatterjee Samrat,
Chattopadhyay Joydev
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3220
Subject(s) - cannibalism , predator , population , mathematics , predation , stability (learning theory) , basic reproduction number , ecology , biology , computer science , demography , machine learning , sociology
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 & Sons, Ltd.