Mathematical analysis of an eco-epidemiological model with different competition factors in its fractional-stochastic form

Abstract

In this paper, we considered a complex real-world problem with existing mathematical equations. These equations were converted to fractional-stochastic differential and integral equations. Analysis of existence and uniqueness was presented for each case. Numerical simulations have been performed for different values of fractional orders and the density of randomness. We discuss in detail the results for the Caputo and Atangana-Baleanu case. The algorithm is given to obtain the numerical solution of each model. The numerical results are shown for the integer case, arbitrary derivative, and stochastic case. The results obtained indicated that this concept will open new doors of investigation toward modeling real-world problems.