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Gupta, Bhanu
- Existence of Nonlinear Fuzzy Differential Equations with Impulses
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Authors
Affiliations
1 Department of Mathematics, Beant College of Engineering and Tech., Gurdaspur, Punjab,, IN
2 Department of Mathematics, JC DAV College, Dasuya, Punjab, IN
1 Department of Mathematics, Beant College of Engineering and Tech., Gurdaspur, Punjab,, IN
2 Department of Mathematics, JC DAV College, Dasuya, Punjab, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 3-4 (2013), Pagination: 373-384Abstract
In this paper, we establish the local and global existence and uniqueness results for fuzzy differential equation with impulse effect using contraction principle. It has also been shown that impulses do contribute to control the fuzziness of the solution.Keywords
Fuzzy Differential Equations, Impulsive Differential Equations, Fuzzy Metric Spaces, Local and Global Existence, Contraction Principle.
- Mathematical Study of Hybrid Impulsive Pest Control Model with Stage Structuring
Abstract Views :309 |
PDF Views:3
Authors
Affiliations
1 JC DAV College, Dasuya, Punjab, IN
2 IKG PTU, Kapurthala, Punjab, IN
3 Beant College of Engineering and Technology, Gurdaspur, Punjab, IN
1 JC DAV College, Dasuya, Punjab, IN
2 IKG PTU, Kapurthala, Punjab, IN
3 Beant College of Engineering and Technology, Gurdaspur, Punjab, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 3-4 (2018), Pagination: 265-290Abstract
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.Keywords
Pest Management, Stage Structure, Impulsive Dierential Equations, Boundedness, Stability, Permanence.References
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