A robust study of the transmission dynamics of zoonotic infection through non-integer derivative

Abstract

In Sub-Saharan Africa, zoonotic diseases are the leading cause of sickness and mortality, yet preventing their spread has long been difficult. Vaccination initiatives have significantly reduced the frequency of zoonotic diseases mostly in African regions. Nonetheless, zoonotic illnesses continue to be a hazard to underdeveloped countries. Zoonotic infections are spread by direct contact, food, and water. We construct an epidemic model to understand zoonotic disease transmission phenomena. The model is examined using the fundamental results of fractional theory. The reproduction parameter ℛ0{{\mathcal{ {\mathcal R} }}}_{0} was obtained by inspecting the model’s steady states. The stability of the system’s steady states has been demonstrated. The system’s reproduction parameter is quantitatively explored by varying various input parameters. Furthermore, the presence and uniqueness of the solution of the proposed dynamics of zoonotic diseases have been demonstrated. Different simulations of the recommended zoonotic disease model with different input factors are performed to inspect the complex dynamics of zoonotic disease with the influence of various model factors. To establish effective prevention and control measures for the infection, we analyse dynamical behaviour of the system. Decreasing the fractional order θ\theta can decrease the infection level significantly. Different factors for reducing zoonotic diseases were recommended to regional policymakers.

Keywords

• zoonotic disease
• caputo-fabrizio operator
• mathematical model
• qualitative analysis
• fixed-point theory
• numerical findings
• 92c50
• 92d25