Work

Mathematical Analysis of a Malaria model with vaccination, treatment and vector control using Sterile-insect technique

Year: 2025

Type: article

Abstract: In this work, a mathematical model for malaria transmission is developed using a system of nonlinearordinary differential equations. The model incorporates three control strategies: vaccination, treatment,and sterile insect technique. Analytical results demonstrate that the malaria-free equilibrium is both locally and globally asymptotically stable when the basic reproduction number, R0 is less than one, and unstable when R0 > 1. The existence of an endemic equilibrium is investigated, and conditions for the occurrence of forward or backward bifurcation are derived. Numerical simulations and graphical illustrations are provided to demonstrate the disease dynamics under various control scenarios. The findings reveal that the combined application of all three control measures is more effective in reducing malaria transmission than any individual or pairwise combination of interventions.

Source: Journal of Mathematical Analysis and Modeling

DOI: 10.48185/jmam.v6i1.1432

Authors: Emmanuel Chidiebere Duru, MICHAEL C. ANYANWU, GODWIN C.E. MBAH

Institutions: Michael Okpara University of Agriculture, University of Nigeria

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W4411335100

FWCI: 1.699

Cites:

Cited by: 2

Related to: 10