Cannibalism may control disease in predator population: result drawn from a model based study

被引：17
作者：
Biswas, Santosh [1 ]
Chatterjee, Samrat [2 ]
Chattopadhyay, Joydev [3 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
[2] Drug Discovery Res Ctr, Translat Hlth Sci & Technol Inst, Gurgaon 122016, India
[3] Indian Stat Inst, Agr & Ecol Res Unit, Kolkata 700108, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 11期
关键词：
cannibalism; disease transmission; coexistence; conspecific predator; mathematical models; SEXUAL CANNIBALISM; PREY MODEL; DYNAMICS; VIRUS; CEPHALOPODA; PERSISTENCE; EVOLUTION; INFECTION; STRATEGY; SPIDERS;
D O I：
10.1002/mma.3220
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 (c) 2014 John Wiley & Sons, Ltd.
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收藏
页码：2272 / 2290
页数：19
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