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Control of Pest Population by Sterile Insect Technique Considering Logistic Growth With Spatial Spread Invasion and Optimal Production Policies

Control of Pest Population by Sterile Insect Technique Considering Logistic Growth With Spatial Spread Invasion and Optimal Production Policies

Sudipa Chauhan, Kuldeep Chaudhary, Prianka Bose, Sumit Kaur Bhatia
Copyright: © 2020 |Pages: 20
ISBN13: 9781799837411|ISBN10: 1799837416|EISBN13: 9781799837428
DOI: 10.4018/978-1-7998-3741-1.ch009
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MLA

Chauhan, Sudipa, et al. "Control of Pest Population by Sterile Insect Technique Considering Logistic Growth With Spatial Spread Invasion and Optimal Production Policies." Mathematical Models of Infectious Diseases and Social Issues, edited by Nita H. Shah and Mandeep Mittal, IGI Global, 2020, pp. 196-215. https://doi.org/10.4018/978-1-7998-3741-1.ch009

APA

Chauhan, S., Chaudhary, K., Bose, P., & Bhatia, S. K. (2020). Control of Pest Population by Sterile Insect Technique Considering Logistic Growth With Spatial Spread Invasion and Optimal Production Policies. In N. Shah & M. Mittal (Eds.), Mathematical Models of Infectious Diseases and Social Issues (pp. 196-215). IGI Global. https://doi.org/10.4018/978-1-7998-3741-1.ch009

Chicago

Chauhan, Sudipa, et al. "Control of Pest Population by Sterile Insect Technique Considering Logistic Growth With Spatial Spread Invasion and Optimal Production Policies." In Mathematical Models of Infectious Diseases and Social Issues, edited by Nita H. Shah and Mandeep Mittal, 196-215. Hershey, PA: IGI Global, 2020. https://doi.org/10.4018/978-1-7998-3741-1.ch009

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Abstract

In this chapter, the authors have proposed a SIT model to eradicate the pest population. It has been assumed that the females after mating with wild males grow logistically. Pest population is being controlled with the release of sterile insects in their habitat. The model is formulated with the system of differential equations, and the authors have discussed the local stability analysis of deterministic logistic growth rate model. Further, they have also obtained a potential function by incorporating one-dimensional insect release with an invasion on patch size L, which has a toxic exterior as its surrounding. It has been obtained that, in the presence of spatial spread over a finite patch size, the sterile release of the insects produces a sudden declination of the pest population. Finally, the authors have obtained the optimal production of sterile male population using Pontryagin's maximum principle. The applicability of the proposed model is finally illustrated through numerical solution.

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