Work

Mathematical modelling and analysis of the adaptive dynamics in mosquito populations: uniform persistence of malaria infection

Year: 2025

Type: article

Abstract: In this work, we present a mathematical model for the spread of malaria, incorporating key factors such as human populations, mosquito behavior, and the mosquitoes' plasticity and adaptation to control measures like widespread insecticide-treated mosquito nets and indoor residual spraying. Through analysis of the model, we identify and describe the convergence and persistence properties of the solutions, leveraging a small parameter that represents the interactions between mosquitoes in relation to their activity patterns. In our analysis, we extend some ideas from the theory of uniform persistence to the case of semiflow without dissipativity.

Source: Journal of Mathematical Biology

DOI: 10.1007/s00285-025-02206-z

Authors: Bassirou Diop, Arnaud Ducrot, Ousmane Seydi

Institutions: Université Le Havre Normandie, École Polytechnique de Thiès, Laboratoire de Mathématiques Appliquées du Havre

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: $3,090

Funder: Région Normandie