id author title date pages extension mime words sentences flesch summary cache txt cord-326280-kjjljbl5 Abdo, Mohammed S. Existence theory and numerical analysis of three species prey–predator model under Mittag-Leffler power law 2020-05-27 .txt text/plain 3516 306 62 Newly, to overcome Caputo-Fabrizio's problem, Atangana and Baleanu (AB) in [13] have proposed a new modified version of a fractional derivative with the aid of a generalized Mittag-Leffler function (MLF) as a nonsingular kernel and being nonlocal. However, recently, there has been great interest in studying the behavior of the solution for some biological systems using fractional differential equations involving the Atangana-Baleanu operator by several authors for the purpose of investigating several real-world systems and modeling infectious diseases; see [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] . Also, the existence results and analytic solutions of fractional-order dynamics of COVID-19 with ABC derivative has been obtained in [34] . Due to the success of this operator in modeling the biological systems and infectious diseases, we have studied the dynamical behavior of the mathematical model which describes three prey-predator species by a nonlocal Atangana-Baleanu-Caputo (ABC) derivative operator with 0 < α ≤ 1 as ./cache/cord-326280-kjjljbl5.txt ./txt/cord-326280-kjjljbl5.txt