In this paper, we investigate the following non-local Cauchy problem of nonlinear population evolution equation with random periodic migration perturbation,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0<r<rm,t0p(r,0)=p0(r)+g(p(r,t0)),T>t0>0 p(0,t)=β(t)integral from n=r1 to r2 k(r)h(r)p(r,t)dr, t≥0.

Rain and wind interfere with natural population development of Macrosiphum avenae(Fabricius)

Convergence of difference method for initial boundary value problem of a kind of evolution equation;

Stability study of difference method for solution of a kind of nonlinear evolution equations;

The homotopic solving method of solitary wave for strong nonlinear evolution equation;

A note on the approach for constructing non-isospectral hierarchies of evolution equations;

In this paper,the concept,phenomena and mechanism of nonlinear computational instability of the nonlinear evolution equations in numerical weather prediction are discussed.

The judgment on recursion operators of evolution equations is discussed.

Using the general monotone iterative method and ordering theory, a class of nonlinear discontinuous set-valued evolution equations is discussed in this paper, some results on the convergence of the iterative solution is obtained.

In this paper,the existence of global attractor for a class of nonlinear evolution equations has been proved.

In this paper, a kind of commutation representations of the TA-integrable evolution equation hierarchy is presented.