Dynamics of SIS-epidemic model with competition involving fractional-order derivative with power-law kernel

Dynamics of SIS-epidemic model with competition involving fractional-order derivative with power-law kernel

I Djakaria, HS Panigoro, E Bonyah, E Rahmi, W Musa – Commun. Math. Biol. Neurosci …, 2022

Infectious disease and competition play important roles in the dynamics of a population due to their capability to increase the mortality rate for each organism. In this paper, the dynamical behaviors of a single species population are studied by considering the existence of the infectious disease, intraspecific competition, and interspecific competition. The fractional-order derivative with a power-law kernel is
utilized to involve the impact of the memory effect. The population is divided into two …