In this article, a predator-prey model has been evolved in the form of a system of fractional
order differential equations incorporating two important factors, namely, fear factor and prey …

A memristor is a nonlinear two-terminal electrical element that incorporates memory features
and nanoscale properties, enabling us to design very high-density artificial neural networks …

According to the observations in this paper, an existing mathematical model of banking
capital dynamics should be tweaked. First-order ordinary differential equations with a" …

Most of the preys are well aware of sensing predation risk. Consequently, to escape from
predators they usually adopt several defense mechanisms, specially refuge themselves to …

Finding solutions for a sustainable coexistence between wildlife and humans is considered
among the most challenging environmental management issues for scientists …

We introduce FdeSolver, an open-source Julia package designed to solve fractional-order
differential equations efficiently. The available solutions are based on product-integration …

In this paper, we proposed new predator‐prey models that take into account memory and
kicks. Memory is understood as the dependence of current behavior on the history of past …

Ecological memory refers to the influence of past events on the response of an ecosystem to
exogenous or endogenous changes. Memory has been widely recognized as a key …

In this paper, we consider the dynamics of Caputo fractional order predator–prey models
with Allee effect in prey and refuge in proportion to the two species. We first investigate the …

This paper develops new numerical schemes for solution to nonlinear fractional convection-
diffusion equations of order β∈[1, 2]. We propose the local discontinuous Galerkin methods …