Pattern Dynamics of a Vegetation Model with Nonlocal Action and Cross Diffusion
A vegetation model with nonlocal delay and cross-diffusion is established,and the nonlocal delay terms in one and two dimensions are derived in detail,and the bivariate model is transformed into a three-variable reaction-diffusion equation,the conditions of producing steady pattern are obtained.The succession of vegetation pattern over time is obtained by numerical simulation.The results shows that the average vegetation density is positively correlated with the cross diffusion coefficient,that is,with the increase of the cross diffusion coefficient,the average vegetation density will increase.The results of numerical simulation show the effect of cross diffusion coefficient on vegetation pattern.
NETL
NSTL
万方数据
