Journal
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY
Volume 23, Issue 3, Pages 859-872Publisher
SPRINGER
DOI: 10.1007/s11009-020-09790-1
Keywords
Stochastic population model; Polluted environment; Impulsive perturbations; Periodic solutions; Attractivity
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Funding
- program for NSFC of China [11771014, 31772844]
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This paper focuses on the periodic solutions of a stochastic two-prey one-predator model with impulsive perturbations in a polluted environment. The existence of global positive periodic solutions is discussed by constructing an auxiliary system, and the sufficient conditions for the global attractivity of the periodic solutions are given using the Lyapunov method. An example is introduced to demonstrate the effectiveness of the main results.
In this paper, the periodic solutions of a stochastic two-prey one-predator model with impulsive perturbations in a polluted environment are focussed. The existence of global positive periodic solutions to the model are discussed by constructing the auxiliary system, and the sufficient conditions for the global attractivity of the periodic solutions are given by using Lyapunov method. An example is introduced to illustrate the effectiveness of our main results.
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