Dynamical behaviors of a biological management model with impulsive stocking juvenile predators and continuous harvesting adult predators

Abstract

In this work, a biological management model with impulsive stocking juvenile predators and continuous harvesting adult predators is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction periodic solution of the investigated system is proved to be globally asymptotically stable. By the theory of impulsive differential equation, the investigated system is also proved to be permanent. Finally, the numerical analysis is inserted to illustrate the results. Our conclusions provide reliable tactical basis for the practical biological management.

Dynamics in a discrete predator-prey system with infected prey

“…Ko and Ryu [13] focused on the coexistence states of a nonlinear Lotka-Volterra type predator-prey model with cross-diffusion. Jian et al [10] considered the prey-extinction periodic solution of a biological management model with impulsive stocking juvenile predators and continuous harvesting adult predators. In detail, one can see [2], [11], [12], [15], [17], [18].…”