Effects of treatment and drug resistance on the transmission dynamics of malaria in endemic areas

DOI10.1016/j.tpb.2008.10.002zbMath1210.92005OpenAlexW1995591629WikidataQ44144167 ScholiaQ44144167MaRDI QIDQ615567

Shadreck Dube, Winston Garira, Christinah Chiyaka

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2008.10.002

zbMATH Keywords

delayresistancetreatmentmalariaendemicreproductive number

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Application models in control theory (93C95) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

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Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Mathematical modeling of immunity to malaria
• A model for Chagas disease involving transmission by vectors and blood transfusion
• Backwards bifurcations and catastrophe in simple models of fatal diseases
• A simple vaccination model with multiple endemic states
• Effects of treatment or/and vaccination on HIV transmission in homosexuals with genetic heterogeneity
• Global stability for the SEIR model in epidemiology
• Structured models for heterosexual disease transmission
• Transmission model of endemic human malaria in a partially immune population
• A reaction-diffusion system modeling the spread of resistance to an antimalarial drug
• Mathematical modelling of drug resistant malaria parasites and vector populations

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