A mathematical model for the transmission and spread of drug sensitive and resistant malaria strains within a human population

DOI10.1155/2014/636973zbMath1300.92104OpenAlexW2169069040WikidataQ59048091 ScholiaQ59048091MaRDI QIDQ470575

Julius Tumwiine, Farai Nyabadza, Senelani D. Hove-Musekwa

Publication date: 12 November 2014

Published in: ISRN Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/636973

zbMATH Keywords

drug resistancemalariathreshold parametersqualitative analysiseffective reproduction number

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20)

Related Items

Mathematical model for hepatocytic-erythrocytic dynamics of malaria ⋮ Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias ⋮ Identifying key factors of the transmission dynamics of drug-resistant malaria ⋮ Uncertainty and sensitivity analysis applied to an in-host malaria model with multiple vaccine antigens

Cites Work

• Unnamed Item
• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Backward bifurcations in dengue transmission dynamics
• Acquired immunity dependent upon exposure in an SIRS epidemic model
• Mathematical modeling of immunity to malaria
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A mathematical model for the dynamics of malaria in a human host and mosquito vector with temporary immunity
• An approximate threshold condition for non-autonomous system: An application to a vector-borne infection
• Mathematical modelling of drug resistant malaria parasites and vector populations