Dynamics of a modified Leslie–Gower Holling-type II eco-epidemiological model on time scales

Abstract

Migratory birds play an important role in the transmission of illnesses like West Nile Virus and Salmonella, etc. The long-time dynamic behaviors of a novel class of nonautonomous model for migratory birds with Leslie–Gower Holling-type II functional response and saturation incidence rate on time scales are investigated in this study. Within this scope, certain necessary conditions are found for the persistence and extinction of the illness under very weak assumptions. Furthermore, the model's global attractiveness is examined by creating a Lyapunov function. Additionally, included are numerical simulations ($\mathbb{T}=\mathbb{R},\mathbb{Z}$) that back up our theoretical research.

Keywords:

• Time scales
• eco-epidemiological model
• Leslie–Gower Holling-type II schemes
• non-autonomous system
• permanence
• extinction

2010 Mathematics Subject Classifications:

• 92D25
• 92D30
• 35R07
• 37C60
• 74H40

Disclosure statement

The authors have no conflicts of interest to declare that are relevant to the content of this article.