Analysis of a mathematical model for the transmission dynamics of human melioidosis

DOI10.1142/S179352452050062XzbMath1461.92121OpenAlexW3036394931MaRDI QIDQ4984969

Semu Mitiku Kassa, Yibeltal A. Terefe

Publication date: 21 April 2021

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352452050062x

zbMATH Keywords

stabilitysensitivity analysisbifurcationreproduction numberreinfectionmelioidosis

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending the type reproduction number to infectious disease control targeting contacts between types
• Global dynamics of cholera models with differential infectivity
• Causes of backward bifurcations in some epidemiological models
• Model for disease dynamics of a waterborne pathogen on a random network
• Global stability for cholera epidemic models
• Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE)
• Re-infection-induced backward bifurcation in the transmission dynamics of chlamydia tracho\-matis
• Applications of centre manifold theory
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Global stability of a two-patch cholera model with fast and slow transmissions
• Reproduction numbers for infections with free-living pathogens growing in the environment
• Further Notes on the Basic Reproduction Number
• An Introduction to Mathematical Epidemiology