Mathematical Study of Hybrid Impulsive Pest Control Model with Stage Structuring
Authors
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JC DAV College, Dasuya, Punjab ,IN
Bhanu Gupta -
Research Scholar, IKG PTU, Kapurthala, Punjab ,INAmit Sharma
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Beant College of Engineering and Technology Gurdaspur, Punjab ,INSanjay K. Srivastava
DOI:
https://doi.org/10.18311/jims/2018/20970Keywords:
Pest Management, Stage Structure, Impulsive Dierential Equations, Boundedness, Stability, PermanenceAbstract
It is a need of time to use hybrid approach (biological and chemical) to control agriculture pests effectively, economically and safely. Most of the pests and natural enemies in their life history goes through two stages namely immature larva and mature adult. From this biological point of view, we purpose a pest control model with stage structuring in pests and natural enemies in the presence of impulsively released natural enemy and chemical pesticides. Using Floquet theory and small ampli- tude perturbation technique, the local stability of periodic solutions are discussed. The suffcient conditions for the global attractively of pest- extinction periodic solution and permanence of the system are obtained by using comparison technique of differential equations with impulsive effect. At last an extensive simulation is done to verify the theoretical ndings and to see the rich dynamical behavior of the system.
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Copyright (c) 2018 Bhanu Gupta, Amit Sharma, Sanjay K. Srivastava
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2018-04-25
Published 2018-06-01
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