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

Journal of Applied Mathematics and Computing - Tập 35 - Trang 483-495 - 2010
Jianjun Jiao1, Shaohong Cai1, Lansun Chen2
1School of Mathematics and Statistics, Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang, P.R. China
2Institute of Mathematics, Academy of Mathematics and System Sciences, Beijing, P.R. China

Tóm tắt

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.

Tài liệu tham khảo

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