Codimension-2 Bifurcation Analysis and Control of a Discrete Mosquito Model with a Proportional Release Rate of Sterile Mosquitoes

Qiaoling Chen, Zhidong Teng, Junli Liu and Feng Wang

Complexity, 2020, vol. 2020, 1-18

Abstract:

This paper concerns a discrete wild and sterile mosquito model with a proportional release rate of sterile mosquitoes. It is shown that the discrete model undergoes codimension-2 bifurcations with 1 : 2, 1 : 3, and 1 : 4 strong resonances by applying the bifurcation theory. Some numerical simulations, including codimension-2 bifurcation diagrams, maximum Lyapunov exponents diagrams, and phase portraits, are also presented to illustrate the validity of theoretical results and display the complex dynamical behaviors. Moreover, two control strategies are applied to the model.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3075487

DOI: 10.1155/2020/3075487

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