Work

A structured mosquito model coupled with sterile male technique: dynamical analysis

Year: 2026

Type: article

Abstract: Taking into account the stage-specific structural characteristics exhibited during mosquito development and the biological suppression of mosquito populations using the sterile male technique, this paper establishes a high-dimensional differential equations model to study the global dynamics of mosquito populations. The basic reproduction number $\mathcal{R}_{0}$ is defined. By constructing appropriate Lyapunov functions, we prove that if $\mathcal{R}_{0}\leq 1$ , the trivial equilibrium $E^{0}$ is globally asymptotically stable; while if $\mathcal{R}_{0}>1$ , the positive equilibrium Ẽ is globally asymptotically stable. Numerical simulations verify the theoretical results, and demonstrate the effectiveness of stage-structured and sterile-male-based biological control for mosquito populations.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-026-04146-4

Authors: Yingke Li, Zhidong Teng, Fengrong Yang

Institutions: Xinjiang Agricultural University, Xinjiang Medical 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: hybrid

Estimated APC paid: $1,890

Funder: National Natural Science Foundation of China