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- Title
DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION.
- Authors
JIAO, JIANJUN; CAI, SHAOHONG; CHEN, LANSUN
- Abstract
In this work, we consider a three-dimensional predator-prey model with impulsive harvesting and diffusion at different fixed moments. We prove that all solutions of the investigated system are uniformly ultimately bounded. The conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system are obtained, as well the permanence of the investigated system. Finally, numerical analysis is inserted to illustrate the results which provide reliable tactic basis for the practical biological resource management.
- Subjects
DIFFERENTIABLE dynamical systems; PREDATION; DIFFUSION processes; MOMENT problems (Mathematics); PERIODIC functions; ASYMPTOTIC expansions; NUMERICAL analysis; RESOURCE management
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2011, Vol 21, Issue 2, p453
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127411028507