<p>In this work, we present a periodic switched pest control model with predation-induced fear, intraspecific cooperative hunting and seasonally migrating in pest population. The aims of this paper are to acquire the sufficient conditions for the permanence and pest-eradication boundary periodic solution of system (2.1) being globally asymptotically stable (GAS). Simulations are employed to validate our conclusions. Through numerical analysis, intraspecific cooperative hunting is found to suppress the pest population effectively. Our conclusion also indicates that the release rate of natural enemies should be dynamically adjusted according to the migration period of the pests. Moreover, under a certain level of fear effect, the pests suppressed by the fear effect are stronger than that by intraspecific cooperative hunting. The optimal release rate of natural enemies under different scenarios is further discussed. Finally, through bifurcation diagrams, we discover complex dynamical properties of the system, such as periodic bifurcations and chaos.</p>

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Dynamics of a periodic switched pest control model with predation-induced fear, intraspecific cooperative hunting and seasonally migrating in pest population

  • Hui Jiao,
  • Jianjun Jiao

摘要

In this work, we present a periodic switched pest control model with predation-induced fear, intraspecific cooperative hunting and seasonally migrating in pest population. The aims of this paper are to acquire the sufficient conditions for the permanence and pest-eradication boundary periodic solution of system (2.1) being globally asymptotically stable (GAS). Simulations are employed to validate our conclusions. Through numerical analysis, intraspecific cooperative hunting is found to suppress the pest population effectively. Our conclusion also indicates that the release rate of natural enemies should be dynamically adjusted according to the migration period of the pests. Moreover, under a certain level of fear effect, the pests suppressed by the fear effect are stronger than that by intraspecific cooperative hunting. The optimal release rate of natural enemies under different scenarios is further discussed. Finally, through bifurcation diagrams, we discover complex dynamical properties of the system, such as periodic bifurcations and chaos.