• Mathematical modelling and opt...

*Result*: Mathematical modelling and optimal control of malaria transmission with antimalarial drug and insecticide resistance.

Title:
Mathematical modelling and optimal control of malaria transmission with antimalarial drug and insecticide resistance.
Authors:
Mwanga GG; Department of Physics, Mathematics and Informatics, Dar es Salaam University College of Education, University of Dar es Salaam, Dar es Salaam, Tanzania.
Source:
Journal of biological dynamics [J Biol Dyn] 2025 Dec; Vol. 19 (1), pp. 2522345. Date of Electronic Publication: 2025 Jun 24.
Publication Type:
Journal Article
Language:
English
Journal Info:
Publisher: Taylor & Francis Country of Publication: England NLM ID: 101299725 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1751-3766 (Electronic) Linking ISSN: 17513758 NLM ISO Abbreviation: J Biol Dyn Subsets: MEDLINE
Imprint Name(s):
Original Publication: Abingdon, Oxon, UK : Taylor & Francis, c2007-
MeSH Terms:
Malaria*/transmission , Malaria*/prevention & control , Malaria*/drug therapy , Antimalarials*/pharmacology , Antimalarials*/therapeutic use , Insecticide Resistance* , Models, Biological*, Mosquito Vectors/parasitology ; Mosquito Vectors/drug effects ; Insecticides/pharmacology ; Mosquito Control/methods ; Humans ; Animals ; Computer Simulation
Contributed Indexing:
Keywords: 49J15; 92B05; 93A30; Malaria; Mathematical modelling; drug-resistant; insecticide-resistant; optimal control
Substance Nomenclature:
0 (Antimalarials)
0 (Insecticides)
Entry Date(s):
Date Created: 20250624 Date Completed: 20250624 Latest Revision: 20250624
Update Code:
20260130
DOI:
10.1080/17513758.2025.2522345
PMID:
40554730
Database:
MEDLINE

*Further Information*

*This study presents a mathematical model to explore malaria transmission dynamics in the presence of antimalarial drug-resistant parasites and insecticide-resistant mosquitoes. The analytical findings demonstrate a stable disease-free equilibrium when the effective reproduction number is below one. For single-strain malaria infections, the endemic equilibrium may exhibit one, two or no solutions. The model is extended to incorporate three time-dependent controls: long-lasting insecticidal nets, antimalarial treatment and mosquito adulticides. Simulation results indicate that interventions excluding drug-resistant parasites and insecticide-resistant mosquitoes are ineffective. The most effective strategies combine insecticides targeting all vectors with treatments for all malaria cases, regardless of resistance. Efficiency analysis suggests implementing all three controls at INLINEMATH efficacy for the maximum impact, while assessments of cost-effectiveness highlight the combination of long-lasting insecticidal nets and antimalarial treatment as a practical option in resource-constrained settings. Nonetheless, integrating all three measures is recommended for substantial malaria transmission reduction.*