Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion | Zendy

Rui Peng | Zendy; Junping Shi | Zendy; Mingxin Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion

Author(s) -

Rui Peng,

Junping Shi,

Mingxin Wang

Publication year - 2007

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/05064624x

Subject(s) - diffusion , pattern formation , turing , steady state (chemistry) , reaction–diffusion system , constant (computer programming) , stability (learning theory) , focus (optics) , chain (unit) , functional response , property (philosophy) , mathematics , food chain , statistical physics , thermodynamics , biological system , predation , mathematical analysis , physics , chemistry , computer science , biology , ecology , philosophy , epistemology , astronomy , machine learning , predator , optics , genetics , programming language

. In the paper, we investigate a three-species food chain model with diusion and ratio-dependent predation functional response. We mainly focus on the co-existence of the three species. For this coupled reaction-diusion system, we study the persistent property of the solution, the stability of the constant positive steady state solution, and the existence and non-existence of non-constant positive steady state solutions. Both the general stationary pattern and Turing pattern are observed as a result of diusion.,Our results also exhibit some interesting eect,of diusion,and functional responses on pattern formation. Key words: food chain model, diusion, ratio-dependent functional response, station-

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research