The dynamics of a mutual interference age structured predator-prey model with time delay and impulsive perturbations on predators |
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Authors: | Guanghu Zhu Xinzhu Meng |
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Institution: | a Minnan Science and Technology Institute, Fujian Normal University, Quanzhou 362332, People’s Republic of China b College of Information Science and Engineering, Shangdong University of Science and Technology, Qingdao 266510, People’s Republic of China c Institute of Mathematics, Academy of Mathematics and Science, Beijing 100080, People’s Republic of China |
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Abstract: | In this paper, we introduce a mutual interference age structured predator-prey (natural enemy-pest) model with constant maturation time delay for the prey, and then propose a pest management strategy by constant periodic releasing for the predator. We show that there exists a global attractive pest-eradication periodic solution when the periodic releasing amount μ1 and μ2 are lager than some critical value. Further, to obtain a more effective pest control strategy, we give the conditions (involving the estimate of μ1 and μ2) in which the model is uniformly permanent and the pest population is under the economic threshold level. We believe that the results will provide reliable tactic basis for the practical pest management. |
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Keywords: | Mutual interference Age structured Maturation time delay Global attractivity Impulsive perturbations Permanence |
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