Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach

Abstract

This study unveils an advanced mathematical model meticulously crafted to elucidate the transmission dynamics of tinea corporis, widespread through skin-to-skin or shared items caused by dermatophytes (a type of fungus). The model employs a system of differential equations to represent and analyze the disease’s progression through six distinct and interconnected compartments: susceptible, intialy infected, secondary infected, treated, recovered, and immuned. Each compartment encapsulates a vital stage of the infection cycle, offering a detailed perspective on how individuals transition from being susceptible to contracting the infection, receiving treatment, recovering, and immuned. The susceptible compartment captures the influx of new individuals and their progression to initial and secondary infections, while the infected compartments reflect the dynamics of new infections and recoveries. The treated compartment tracks those undergoing treatment, while the recovered compartment accounts for those who have recovered and may gain lasting immunity. The model provides a solid framework for assessing the influence and efficacy of different control measures by testing its predictions against actual data through exacting numerical simulations. In addition to expanding our knowledge of how the disease spreads, this all-encompassing strategy offers insightful information for creating focused interventions. By integrating mathematical precision with practical application, the study contributes significantly to more effective management and control of tinea corporis, enhancing our ability to curb its spread and improve public health outcomes. The main findings of this proposed study verified that implementing the proposed prevention and treatment control measures is an effective approach to reducing and managing the prevalence of this common tinea corporis fungal infection in the community.