Vaccination model for visceral leishmaniasis with infective immigrants

DOI10.1002/mma.2589zbMath1263.92025OpenAlexW2037093928MaRDI QIDQ4907185

Joseph Y. T. Mugisha, Ibrahim M. Elmojtaba, Mohsin H. A. Hashim

Publication date: 31 January 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2589

zbMATH Keywords

basic reproduction numberimmigration of infectivesforward bifurcations

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) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Related Items (5)

A mathematical study to control visceral leishmaniasis: an application to South Sudan ⋮ Global analysis and optimal control of a periodic visceral leishmaniasis model ⋮ Understanding visceral leishmaniasis disease transmission and its control -- A study based on mathematical modeling ⋮ Mathematical analysis of a time delay visceral leishmaniasis model ⋮ Mathematical model for the dynamics of visceral leishmaniasis-malaria co-infection

Cites Work

• Mathematical analysis of the dynamics of visceral leishmaniasis in the Sudan
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A host-vector model for malaria with infective immigrants
• Mathematical approaches for emerging and reemerging infectious diseases: Models, methods, and theory. Proceedings of a workshop, integral part of the IMA program on mathematics in biology
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A note on epidemic models with infective immigrants and vaccination
• 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
• Models for transmission of disease with immigration of infectives

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