Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Qualitative Analysis of the Effect of Minimising Listeriosis in Cow Population on the Eradication of Human Listeriosis

Document Type : Original Article

Author
Yaba
Abstract
Listeriosis is a bacterial infection and one of the key zoonotic food borne diseases that account for about 28% yearly food-related mortality in the US. Listeriosis spreads into human populations mostly through the ingestion of contaminated milk and meat. Since cows are major source of milk and meat to man, a nonlinear epidemic model is designed to analyse the transmission dynamics of listeriosis in cow populations under management conditions of treatment and disinfection. The model is studied qualitatively by deriving its equilibria and reproductive ratio (R_0) and by analysing its stability using the stability theory of differential equations. Results from the analysis reveal the necessary and sufficient conditions for listeriosis permanence and eradication in cow populations. The results indicate that listeriosis spread in cow populations could be prevented or eradicated if the rates of applications of treatment and disinfection exceed certain critical values.
Keywords
Subjects

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Volume 3, Issue 2
Spring 2026
Pages 59-65

  • Receive Date 10 May 2026
  • Accept Date 15 May 2026
  • First Publish Date 15 May 2026
  • Publish Date 01 May 2026