A study on time-limited control of single-pest with stage-structure |
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Authors: | Hongjian Guo Lansun Chen |
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Affiliation: | a College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, PR China b Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China |
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Abstract: | Two kinds of time-limited pest control models of single-pest with stage-structure, which can be described by the boundary value problem of ordinary differential equation and impulsive differential equation, are presented according to the ways of artificial control (continuous control and impulsive control). The conditions under which the corresponding model has a solution are given. If the model has a solution, the corresponding aim of pest control can be achieved. The theoretical results show that both the mature and the immature pest should be controlled synchronously, otherwise the aims of pest control can not be achieved in a finite time. Finally, some discussions and numerical simulations show that the impulsive control is more practical than the continuous control. |
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Keywords: | Impulsive control Boundary value problem Impulsive differential equation Single species Stage-structure |
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