On Persistence and Stability of Some Biological Systems with Cross Diffusion

نویسندگان

  • Elsayed Ahmed
  • Ahmed Sadek Hegazi
  • A. S. Elgazzar
چکیده

The concept of cross diffusion is applied to some biological systems. The conditions for persistence and Turing instability in the presence of cross diffusion are derived. Many examples including: predatorprey, epidemics (with and without delay), hawk-dove-retaliate and prisoner’s dilemma games are given.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump

The stochastic reaction diffusion systems may suffer sudden shocks‎, ‎in order to explain this phenomena‎, ‎we use Markovian jumps to model stochastic reaction diffusion systems‎. ‎In this paper‎, ‎we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps‎. ‎Under some reasonable conditions‎, ‎we show that the trivial solution of stocha...

متن کامل

Metal-Ion-Coordinating Properties of Various Amino Acids, Investigation of the Essential Function in Biological Systems regarding to their Nano-Structure

The acidity constants of some amino acids (Am) were determined by potentiometric pH titration. The stability constants of the 1:1 complexes formed between M2+: Ca2+, Mg2+, Mn2+, Co2+, Ni2+, Cu2+ or Zn2+ and Am2-, were determined by potentiometric pH titration in aqueous solution (I = 0.1 M, NaNO3, 25°C). The order of the stability constants was reported. It is shown that the stability of the bi...

متن کامل

Metal-Ion-Coordinating Properties of Various Amino Acids, Investigation of the Essential Function in Biological Systems regarding to their Nano-Structure

The acidity constants of some amino acids (Am) were determined by potentiometric pH titration. The stability constants of the 1:1 complexes formed between M2+: Ca2+, Mg2+, Mn2+, Co2+, Ni2+, Cu2+ or Zn2+ and Am2-, were determined by potentiometric pH titration in aqueous solution (I = 0.1 M, NaNO3, 25°C). The order of the stability constants was reported. It is shown that the stability of the bi...

متن کامل

Investigation of the Persistence and Effects of Core Stability Exercises on Disability and Dynamic Balance in Women with Non-Specific Chronic Low Back Pain

Background and Objective: Low back pain is one of the most common musculoskeletal disorders. Exercise therapy is one of the most common treatments for low back pain. The aim of the present study was to investigate the effects of 6-week core stability exercises on disability and dynamic balance in women with non-specific chronic low back pain. Materials and Methods: This controlled clinical tri...

متن کامل

Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations

In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined....

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Advances in Complex Systems

دوره 7  شماره 

صفحات  -

تاریخ انتشار 2004