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.
Abayomi,A A. (2026). Qualitative Analysis of the Effect of Minimising Listeriosis in Cow Population on the Eradication of Human Listeriosis. Transactions in Theoretical and Mathematical Physics, (), 59-65. doi: 10.30511/ttmp.2026.2088786.1076
MLA
Abayomi,A A. "Qualitative Analysis of the Effect of Minimising Listeriosis in Cow Population on the Eradication of Human Listeriosis", Transactions in Theoretical and Mathematical Physics, , , 2026, 59-65. doi: 10.30511/ttmp.2026.2088786.1076
HARVARD
Abayomi A A. (2026). 'Qualitative Analysis of the Effect of Minimising Listeriosis in Cow Population on the Eradication of Human Listeriosis', Transactions in Theoretical and Mathematical Physics, (), pp. 59-65. doi: 10.30511/ttmp.2026.2088786.1076
CHICAGO
A A Abayomi, "Qualitative Analysis of the Effect of Minimising Listeriosis in Cow Population on the Eradication of Human Listeriosis," Transactions in Theoretical and Mathematical Physics, (2026): 59-65, doi: 10.30511/ttmp.2026.2088786.1076
VANCOUVER
Abayomi A A. Qualitative Analysis of the Effect of Minimising Listeriosis in Cow Population on the Eradication of Human Listeriosis. TTMP. 2026;():59-65. doi: 10.30511/ttmp.2026.2088786.1076
