Coexistence and extinction for a stochastic sheep brucellosis model motivated by Black–Karasinski process DOI
Bingtao Han, Daqing Jiang

Journal of Mathematical Physics, Journal Year: 2025, Volume and Issue: 66(1)

Published: Jan. 1, 2025

To capture the underlying realistic dynamics of brucellosis infection, we propose a stochastic SEIVB-type model, where concentration brucella in environment is incorporated. This paper first mathematical attempt to consider Black–Karasinski process as random effect modeling epidemic transmission. It turns out that both biologically and mathematically reasonable assumption compared with existing approaches. We derive two critical values R0S R0E classify long-term properties model. shown (i) if R0E<1, will die exponentially; (ii) R0S>1, model has stationary distribution ϖ(·), which means prevalence; (iii) R0E=R0S=R0 there are no fluctuations transmission, R0 basic reproduction number its deterministic system. Finally, some numerical examples provided support our findings. should be highlighted theoretical methods techniques used can applied other complex high-dimensional models perturbed by process.

Language: Английский

Coexistence and extinction for a stochastic sheep brucellosis model motivated by Black–Karasinski process DOI
Bingtao Han, Daqing Jiang

Journal of Mathematical Physics, Journal Year: 2025, Volume and Issue: 66(1)

Published: Jan. 1, 2025

To capture the underlying realistic dynamics of brucellosis infection, we propose a stochastic SEIVB-type model, where concentration brucella in environment is incorporated. This paper first mathematical attempt to consider Black–Karasinski process as random effect modeling epidemic transmission. It turns out that both biologically and mathematically reasonable assumption compared with existing approaches. We derive two critical values R0S R0E classify long-term properties model. shown (i) if R0E<1, will die exponentially; (ii) R0S>1, model has stationary distribution ϖ(·), which means prevalence; (iii) R0E=R0S=R0 there are no fluctuations transmission, R0 basic reproduction number its deterministic system. Finally, some numerical examples provided support our findings. should be highlighted theoretical methods techniques used can applied other complex high-dimensional models perturbed by process.

Language: Английский

Citations

0