Controlling Aedes aegypti populations by limited Wolbachia‐based strategies in a seasonal environment

Abstract

In this work, the linear feedback limited control strategy is proposed to indicate how the Wolbachia‐infected mosquitoes should be introduced in the seasonal environment to reduce the non‐Wolbachia mosquito population. The numerical simulations show that the proposed strategy reduces the population level of non‐Wolbachia mosquitos, avoiding mosquito spread and, consequently, reducing the number of cases of vector‐borne diseases.

An LMI Approach-Based Mathematical Model to Control Aedes aegypti Mosquitoes Population via Biological Control

“…In general, stability is an important requirement to study dynamical systems [31][32][33]. In following theorem, we derived the sufficient for exponential stability results for system (25).…”

“…e integer-order mathematical model which describes the interplay among the wild and Wolbachia-infected mosquitoes was analyzed in [25]. In that work, the author divided the mosquito population into two groups: one is aquatic and another one is adult.…”

Mathematical analysis of a Wolbachia invasive model with imperfect maternal transmission and loss of Wolbachia infection

“…In (Campo-Duarte et al., 2018), the focus is to wipeout WU mosquitoes and Rafikov et al. (Rafikov et al., 2019) strategy is to have more WI mosquitoes than WU mosquitoes. Our modelling work has shown that the focus could be different depending on the dynamics of the Wolbachia strain in the Ae.…”

“…Different mathematical models have been developed to simulate the introduction of Wolbachia into Ae. aegypti populations (Campo-Duarte, Vasilieva, Cardona-Salgado, & Svinin, 2018; Crain et al., 2011; Ndii, Hickson, & Mercer, 2012; Rafikov, Meza, Correa, & Wyse, 2019; Schraiber et al., 2012; Xue, Manore, Thongsripong, & Hyman, 2017; Zheng, Tang, Yu, & Qiu, 2018), with each specifying conditions that enable WI mosquitoes to dominate. Caspari and Watson (Caspari & Watson, 1959) demonstrated the importance of cytoplasmic incompatibility on the population replacement between WU and WI mosquitoes.…”

“…Different mathematical models have been developed to simulate the introduction of Wolbachia into Ae. aegypti populations [20][21][22][23][24][25][26], with each specifying conditions that enable WI mosquitoes to dominate. Caspari and Watson [27] demonstrated the importance of cytoplasmic incompatibility on the population replacement between WU and WI mosquitoes.…”