id author title date pages extension mime words sentences flesch summary cache txt cord-330560-amqs5lb6 Rana, Sourav Paradox of enrichment: A fractional differential approach with memory 2013-09-01 .txt text/plain 5220 341 49 We conclude that there is a threshold for the memory effect parameter beyond which the Rosenzweig model is stable and may be used as a potential agent to resolve PoE from a new perspective via fractional differential equations. He formulated his model using ordinary differential equations (ODEs) and considered enrichment by increasing the prey-carrying capacity. In other words, fractional dynamic systems in applications can adequately represent some long-term memory and non-local effects that are typical for many anomalous processes [36] . Fractional dynamical systems adequately represent some long-term memory and these non-local effects that are typical for many anomalous processes [36] . Here we considered the Rosenzweig model of PoE to provide a plausible solution from a new perspective that considers the ecological memory that exists for most species. Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models ./cache/cord-330560-amqs5lb6.txt ./txt/cord-330560-amqs5lb6.txt