Fold-flip and strong resonance bifurcations of a discrete-time mosquito model

Qiaoling Chen, Zhidong Teng and Feng Wang

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: In this paper we consider a two-dimensional discrete-time mosquito model, in which sterile mosquitoes are released into the wild at a nonlinear saturated rate. By reducing the discrete model into different normal forms, we prove that there exists a series of bifurcations of codimension two, including fold-flip bifurcation and strong resonance bifurcations (1:1, 1:2), when the values of two parameters vary. To verify theoretical analyses and confirm the chaotic behaviors of the discrete-time mosquito model, the bifurcation diagrams, phase portraits, time-series diagrams and maximum Lyapunov exponents diagrams are also showed for some special cases.

Keywords: Discrete-time mosquito model; Fold-flip bifurcation; Strong resonance bifurcation; Chaos (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000576

DOI: 10.1016/j.chaos.2021.110704

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