Progress in Fractional Differentiation & Applications

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A non-integer order model stemmed from an evolutionary game theory is presented in this work to study the impact of changes in human behavior during an emerging epidemic. Introducing fractional order derivatives in Caputo sense to the integer order model may give a better understanding of the numerous effects of memory and learning process of individuals on the prevalence of the infectious diseases when epidemics occur. Numerical simulations are presented to figure out the features of using the non-integer order (fractional order) models in epidemiology.

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