This review summarizes all known results (up to this date) about methods of integration of
the classical Lotka–Volterra systems with diffusion and presents a wide range of exact …

Abstract Nowadays, in the Scientific Machine Learning (SML) research field, the traditional
machine learning (ML) tools and scientific computing approaches are fruitfully intersected for …

Does a high dispersal rate provide a competitive advantage when risking competitive
exclusion? To this day, the theoretical literature cannot answer this question in full …

In this paper, we have applied modified cubic B-spline based differential quadrature method
to get numerical solutions of one dimensional reaction-diffusion systems such as linear …

The main purpose of this paper is to study the traveling wave solutions of the diffusive Lotka–
Volterra systems with boundary conditions. With the help of Gröbner bases elimination …

The solutions of the reaction-diffusion system are given by method of collocation based on
the exponential B-splines. Thus the reaction-diffusion systemturns into an iterative banded …

This work deals to capture the different types of patterns of nonlinear time dependent
coupled reaction-diffusion models. To accomplish this work, a new differential quadrature …

Following JD Murray, we consider a system of two differential equations that models
traveling fronts in the Noyes-Field theory of the Belousov–Zhabotinsky (BZ) chemical …

We consider the problem where W invades the (U; V) system in the three species Lotka-
Volterra competition-diflusion model. Numerical simulation indicates that the presence of W …

The book provides an introduction to deterministic (and some stochastic) modeling of
spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the …