Abstract
A stochastic hybrid population model with Allee effect, Markovian switching and impulsive perturbations is proposed and studied. Sufficient conditions for the extinction and permanence are obtained. Some asymptotic properties are investigated. The lower- and the upper-growth rates of the positive solutions are derived. Numerical simulations are performed to illustrate the main results and to analyze the effects of the Allee effect, the Markovian switching and the impulsive perturbations on the survival and extinction of the population.
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Funding
This research was supported by the Natural Science Foundation of Chongqing (cstc2019jcyj-msxm2151), Chongqing Municipal Education Commission (KJQN201900707), Joint Training Base Construction Project for Graduate Students in Chongqing (JDLHPYJD2021016), Group Building Scientific Innovation Project for universities in Chongqing (CXQT21021) and the Graduate Research and Innovation Project of Chongqing (CYS21370).
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Qianjun, C., Zijian, L., Yuanshun, T. et al. Analysis of a stochastic hybrid population model with impulsive perturbations and Allee effect. J. Appl. Math. Comput. 69, 565–587 (2023). https://doi.org/10.1007/s12190-022-01752-9
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DOI: https://doi.org/10.1007/s12190-022-01752-9