@article{Jiang2025, 
author = {Ruibin Jiang and Zhiming Guo and Ruiqiang Zhuo},
title = {Dynamical analysis of discrete models for mosquito population suppression},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {12},
pages = {7528-7550},
keywords = {stability, bifurcation, integro-difference equation, traveling wave, critical patch-size},
url = {https://www.sciopen.com/article/10.3934/era.2025332},
doi = {10.3934/era.2025332},
abstract = {Amid the global challenge of mosquito-borne disease transmission, sterile insect technology (SIT) has emerged as a promising biological control strategy. Based on the classical Beverton–Holt model and the assumption of complete cytoplasmic incompatibility (CI), we develop a discrete-time model with overlapping generations and a corresponding integro-difference equation (IDE) to investigate the population dynamics under different release strategies for infected male mosquitoes. For the discrete-time model, we apply stability and bifurcation theory to determine the existence and stability of equilibria and derive the release threshold        r    ∗   above which the wild mosquito population is successfully suppressed. Analysis of the IDE model yields a lower release threshold        r          ∗      ∗       and a critical patch-size        L    ∗  . Comparison of the two models demonstrates that spatial diffusion reduces the required release threshold for achieving population suppression.}
}