Work

Dynamics of a non-autonomous delay mosquito population suppression model with Wolbachia -infected male mosquitoes

Year: 2024

Type: article

Abstract: In this paper, we develop a non-autonomous delay differential equation model for mosquito population suppression. After establishing the positiveness and boundedness of the solutions, we study the dynamical behaviours of the model with or without Wolbachia-infected male mosquitoes. More specifically, for the model without infected male mosquitoes, we analyse the asymptotic stability of the equilibria and demonstrate that the model undergo Hopf bifurcations under certain conditions. For the model incorporating infected male mosquitoes, we derive sufficient conditions for the global asymptotic stability of the origin. Numerical examples are provided to illustrate and support our theoretical findings.

Source: Journal of Biological Dynamics

DOI: 10.1080/17513758.2024.2437034

Authors: Yufeng Wang, Jianshe Yu

Institution: Guangzhou University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $1,533

Funder: National Natural Science Foundation of China