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Effect of multiple delays on the dynamics of cannibalistic prey-predator system with disease in both populations
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作者 Santosh Biswas Sudip Samanta +1 位作者 Qamar J. A. Khan joydev chattopadhyayt 《International Journal of Biomathematics》 2017年第4期77-122,共46页
In the present paper, we investigate a prey-predator system with disease in both prey and predator populations and the predator population is cannibalistic in nature. The model is extended by introducing incubation de... In the present paper, we investigate a prey-predator system with disease in both prey and predator populations and the predator population is cannibalistic in nature. The model is extended by introducing incubation delays in disease transmission terms. Local stability analysis of the system around the biologically feasible equilibria is studied, The bifurcation analysis of the system around the interior equilibrium is also studied, The sufficient conditions for the permanence of the system are derived in the presence of delays. We observe that incubation delays have the ability to destabilize the cannibalistic prey-predator system. Finally, we perform numerical experiments to substantiate our analytical findings. 展开更多
关键词 CANNIBALISM disease transmission incubation delay PERSISTENCE Hopf bifur-cation.
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