Fractional View Analysis Of The Dynamics Of A Plant Disease Through Caputo–Fabrizio Derivative

A thorough understanding of the dynamics of cotton leaf curl virus (CLCuV) disease is crucial for developing effective control strategies, mitigating economic losses in cotton production, and ensuring sustainable agriculture in regions affected by this infection. In this work, we formulate the dynamics of CLCuV disease in a fractional framework to capture the intricate phenomena associated with the disease. The infection-free steady state of the model is determined, and the reproduction parameter is determined by applying the next-generation matrix approach, indicated by ℛ0. Our results reveal that the infection-free equilibrium exhibits local asymptotic stability when ℛ0 < 1, and unstable when it exceeds the threshold. We establish the existence and uniqueness of the solution for our recommended model of the disease. In addition to this, we explore the dynamical behavior through numerical results, aiming to elucidate the complex dynamics of the disease and provide visual insights into key determinants. This knowledge facilitates the development of efficient disease management strategies, such as the prompt implementation of control measures, the creation of resistant varieties, and the enhancement of cultural customs. Finally, a thorough understanding of the disease dynamics empowers farmers and authorities to adopt proactive measures, reducing the economic losses and preserving the health of cotton crops.