A study on fractional order infectious chronic wasting disease model in deers

Abstract

In this paper, the fractional order analysis of the behaviour of the four-dimensional chronic wasting disease (CWD) communities model has been presented. The complexity and dynamical behaviour of the CWD model have been calculated using two fractional derivatives. CWD, a neurological disease that affects deer, has resulted in many deaths and infections among deer populations around the world. To better understand and tackle this eco-epidemiological issue, we used two numerical schemes utilizing the Caputo fractional operator and the Atangana-Baleanu (AB) fractional operator. We have investigated the stability of the eco-epidemiological CWD model. The fixed point theory is a volumetric role play in analyzing the existence and uniqueness of the solution. We use bifurcation diagrams, time series diagrams, and phase diagrams to analyze fractional-order eco-epedimological systems with derivative orders and parameters varying. We examine the approximate result of the eco-epidemiological CWD model with the Atangana-Baleanu (AB) operator and the Caputo operator, and we also compare both solutions. We do a brief analysis of the simulated results, which reveals that the suggested methodologies are novel, dependable, and remarkably easy to implement. In addition to determining the direction, stability, bifurcating, and numerical solutions, graphic depiction and graph bifurcation provide better information about the proposed model.

Keywords:

• Atangana-Baleanu (AB) operator
• bifurcation
• caputo operator
• chronic wasting disease (CWD) model
• existence and uniqueness
• stability
• Toufik-Atangana numerical scheme

Disclosure statement

The authors declare that they have no conflicts of interests.

Data availability statement

Data will be made available on reasonable request.