A mathematical model of anthrax transmission in animal populations

DOI10.1007/s11538-016-0238-1zbMath1368.92191OpenAlexW2565156843WikidataQ39051464 ScholiaQ39051464MaRDI QIDQ526620

Abdul-Aziz Yakubu, Chadi M. Saad-Roy, Pauline van den Driessche

Publication date: 15 May 2017

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-016-0238-1

zbMATH Keywords

global stabilityHopf bifurcationsanthraxtype reproduction number

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Global stability of solutions to ordinary differential equations (34D23)

Related Items (13)

MODEL FOR TRANSMISSION AND OPTIMAL CONTROL OF ANTHRAX INVOLVING HUMAN AND ANIMAL POPULATION ⋮ GLOBAL DYNAMICS, OPTIMAL CONTROL AND COST-EFFECTIVENESS ANALYSIS FOR ANTHRAX TRANSMISSION MODEL IN ANIMAL POPULATIONS WITH VACCINATION AND SANITATION ⋮ Dynamics of infectious diseases: a review of the main biological aspects and their mathematical translation ⋮ Global dynamics in a model for anthrax transmission in animal populations ⋮ Study of anthrax disease dynamics in multi-compartment with grass and herbivores population ⋮ Unnamed Item ⋮ On the existence and uniqueness of an inverse problem in epidemiology ⋮ An optimal control model to reduce and eradicate anthrax disease in herbivorous animals ⋮ Disease extinction versus persistence in discrete-time epidemic models ⋮ Investigating the effects of intervention strategies in a spatio-temporal anthrax model ⋮ A mathematical model for coinfection of Listeriosis and Anthrax diseases ⋮ An epidemic model with transport-related infection incorporating awareness and screening ⋮ An eco-epidemic model with seasonal variability: a non-autonomous model

Cites Work

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• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Anthrax epizootic and migration: persistence or extinction
• Models of Bovine Babesiosis including juvenile cattle
• The type-reproduction number \(T\) in models for infectious disease control
• Dynamical analysis and control strategies in modeling anthrax
• Global Stability of Infectious Disease Models Using Lyapunov Functions

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