Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes

DOI10.3934/DCDSB.2019139zbMath1427.34056OpenAlexW2962786547MaRDI QIDQ2326626

Xinyu Song, Yuyue Zhang, Li-Ming Cai, Ji-Cai Huang

Publication date: 10 October 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019139

zbMATH Keywords

saddle-node bifurcationBogdanov-Takens bifurcationsterile mosquitoesproportional release ratesubcritical and supercritical Hopf bifurcations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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