AN AGE STRUCTURE MODEL WITH IMPULSE ACTIONS FOR LEPTOSPIROSIS IN LIVESTOCK CATTLE

DOI10.1142/S0218339021500042zbMath1469.92100OpenAlexW3164855247MaRDI QIDQ5003134

David Baca-Carrasco, Ibrahim Halil Aslan, Suzanne M. Lenhart, Jorge X. Velasco-Hernández

Publication date: 29 July 2021

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339021500042

zbMATH Keywords

basic reproduction numberleptospirosistarget reproduction numberdiseases free equilibrium

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Global stability analysis and control of leptospirosis
• Extending the type reproduction number to infectious disease control targeting contacts between types
• Modeling environmental transmission of MAP infection in dairy cows
• On the calculation of \(R_0\) using submodels
• Prevention of leptospirosis infected vector and human population by multiple control variables
• Modelling leptospirosis in livestock
• A methodology for performing global uncertainty and sensitivity analysis in systems biology
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Transmission dynamics of cholera: mathematical modeling and control strategies
• Optimal control of aquatic diseases: a case study of Yemen's cholera outbreak
• Dynamic behavior of leptospirosis disease with saturated incidence rate
• The type-reproduction number \(T\) in models for infectious disease control
• A MATHEMATICAL MODEL FOR HUMAN AND ANIMAL LEPTOSPIROSIS
• Reproduction numbers for infections with free-living pathogens growing in the environment
• Further Notes on the Basic Reproduction Number