Dynamic of a delayed predator–prey model with birth pulse and impulsive harvesting in a polluted environment

Xiaohong Wang and Jianwen Jia

Physica A: Statistical Mechanics and its Applications, 2015, vol. 422, issue C, 1-15

Abstract: In this paper, we propose a delayed predator–prey model with birth pulse and impulsive harvesting in a polluted environment. Existence conditions of the predator-extinction periodic solution are derived by developing the discrete dynamical system, which is determined by the stroboscopic map. Further, we discuss the global attractivity of predator-extinction periodic solution and permanence of the system, and obtain the threshold conditions. The results provide a dependable theoretical strategies to protect population from extinction in a polluted environment. Finally, the numerical simulations are presented for verifying the theoretical conclusions.

Keywords: Predator–prey model; Birth pulse; Global attractivity; Permanence; Polluted (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:422:y:2015:i:c:p:1-15

DOI: 10.1016/j.physa.2014.12.003

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