Symmetries and Solutions for a Class of Advective Reaction-Diffusion Systems with a Special Reaction Term

نویسندگان

چکیده

This paper is devoted to apply the Lie methods a class of reaction diffusion advection systems two interacting species u and v with arbitrary constitutive functions f g. The term appearing in equation for logistic function Lotka-Volterra type. Once obtained algebra any form g classification carried out. Interesting reduced are derived admitting wide classes exact solutions.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic behavior of solutions for a class of predator – prey reaction – diffusion systems with time delays ✩

The aim of this paper is to investigate the asymptotic behavior of solutions for a class of three-species predator–prey reaction–diffusion systems with time delays under homogeneous Neumann boundary condition. Some simple and easily verifiable conditions are given to the rate constants of the reaction functions to ensure the convergence of the time-dependent solution to a constant steady-state ...

متن کامل

Coexistence and Stability of Solutions for a Class of Reaction-diffusion Systems

In this paper we consider the situation of two species of predators competing for one species of prey. We use comparison principles to study the global existence, the existence of non-trivial steady states and their stability.

متن کامل

On the Existence of Stationary and Periodic Solutions for a Class of Autonomous Reaction-diffusion Systems

Abstract. We examine the autonomous reaction-diffusion system ut = λ1uxx + f(u, v)u − v, vt = λ2vxx + f(u, v)v + u for t > 0 with Dirichlet boundary conditions on I = (0, 1), where λ1, λ2 are positive constants. If λ1 and λ2 coincide, then the zero solution is the only stationary solution. If the zero solution is unstable and f satisfies some monotonicity condition, then periodic motion can occ...

متن کامل

An existence results on positive solutions for a reaction-diffusion model with logistics growth and indefinite weight

In this paper, using sub-supersolution argument, we prove an existence result on positive solution for an ecological model under certain conditions. It also describes the dynamics of the fish population with natural predation and constant yield harvesting. The assumptions are that the ecosystem is spatially homogeneous and the herbivore density is a constant which are valid assumptions for mana...

متن کامل

New conditional symmetries and exact solutions of reaction - diffusion systems with power diffusivities 1

A wide range of new Q-conditional symmetries for reaction-diffusion systems with power diffusivities is constructed. The relevant non-Lie ansätze to reduce the reactiondiffusion systems to ODE systems and examples of exact solutions are obtained. Relation of the solutions obtained with the development of spatially inhomogeneous structures is discussed. PACS numbers: 02.20.-a, 02.30.Jr, 05.45.-a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11010160