
doi: 10.1155/2012/381503
According to the integrated pest management strategies, we propose a model for pest control which adopts different control methods at different thresholds. By using differential equation geometry theory and the method of successor functions, we prove the existence of order one periodic solution of such system, and further, the attractiveness of the order one periodic solution by sequence convergence rules and qualitative analysis. Numerical simulations are carried out to illustrate the feasibility of our main results. Our results show that our method used in this paper is more efficient and easier than the existing ones for proving the existence of order one periodic solution.
differential equation geometry theory, Adaptive control/observation systems, Epidemiology, Application models in control theory, method of successor functions, QA1-939, Nonlinear oscillations and coupled oscillators for ordinary differential equations, periodic solutions, Mathematics
differential equation geometry theory, Adaptive control/observation systems, Epidemiology, Application models in control theory, method of successor functions, QA1-939, Nonlinear oscillations and coupled oscillators for ordinary differential equations, periodic solutions, Mathematics
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