Modeling and analysis of structured population in malaria

An LTT, Jäger W, Neuß M (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of Mathematical Analysis and Applications Elsevier

Book Volume: 507

Article Number: 125816

Journal Issue: 2

DOI: 10.1016/j.jmaa.2021.125816

Abstract

To obtain clear information about the dynamics of malaria in connection with drug resistance, a quantitative model was developed in the form of a dynamical system for structured populations. Densities for the drug sensitive and resistant parasites were considered as two structured variables. The model system consists of four integral-partial differential equations with implicit boundary conditions. As the main result, the existence and uniqueness of nonnegative solution under a sufficient condition were proven, based on our established framework. The relevance of the model system for better understanding vector-borne diseases with drug resistance was discussed.

Authors with CRIS profile

Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

University of Economics Ho Chi Minh City VN Viet Nam (VN) Ruprecht-Karls-Universität Heidelberg DE Germany (DE)

How to cite

APA:

An, L.T.T., Jäger, W., & Neuß, M. (2022). Modeling and analysis of structured population in malaria. Journal of Mathematical Analysis and Applications, 507(2). https://dx.doi.org/10.1016/j.jmaa.2021.125816

MLA:

An, Le Thi Thanh, Willi Jäger, and Maria Neuß. "Modeling and analysis of structured population in malaria." Journal of Mathematical Analysis and Applications 507.2 (2022).

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