Intraspecific competition of predator for prey with variable rates in protected areas

Tripathi, Jai Prakash; Jana, Dipak Kumar; Devi, N. S. N. V. K. Vyshnavi; Tiwari, Vandana; Abbas, Syed

doi:10.1007/s11071-020-05951-6

Cited by 12 publications

(1 citation statement)

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“…e predator-prey systems with prey refuge have been focused by several authors. Tripathi et al studied the model with Beddington-DeAngelis type function response incorporating a prey refuge [6,7], the model with time delay and prey refuge [8], and the model for prey with variable rates in protected areas [9]. Mondal and Samanta [10] investigated the model with prey refuge dependent on both species and constant harvest in predator [10] and the model with nonlinear prey refuge [11,12].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Behavior of a Predator‐Prey System Incorporating a Prey Refuge with Impulse Effect

Yang²,

Fu³

2022

Complexity

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A predator-prey model with Holling II functional response incorporating a prey refuge with impulse effect is considered in this paper. With the help of the Floquet theory of impulsive differential equations, local stability and global attractivity of the boundary periodic solution of the system are derived, and then sufficient conditions for global asymptotic stability of the boundary periodic solution are obtained. Next, the permanence of the system is proved by constructing a Lyapunov function. Further, by applying the bifurcation theory of impulsive differential equations, conditions under which the system has a positive periodic solution are obtained. Finally, numerical simulations are presented to illustrate the analytical results.

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