Peixuan Weng

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The theory of asymptotic speeds of spread and monotone traveling waves for monotone semiflows is applied to a multi-type SIS epidemic model to obtain the spreading speed c∗, and the nonexistence of traveling waves with wave speed c < c∗. Then the method of upper and lower solutions is used to establish the existence of monotone traveling waves connecting(More)
School of Infonmation Science and Technology Flinders University G.P.O. Box 2100, Adelaide, Australia 5001 (Received May 30, 1991 and in revised form November 20, 1991) Abstract Sufficient conditions are obtained for the global asymptotic stability of the positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control(More)
Oscillation criteria are established for the second order neutral delay differential equation with distributed deviating argument (r(t) (x(t))Z′(t))′ + ∫ b a q(t, )f [x(g(t, ))] d ( )= 0, t t0, where Z(t)= x(t)+p(t)x(t − ). These results are extensions of the integral averaging techniques due to Coles and Kamenev, and improve some known oscillation criteria(More)
In this paper, we establish the existence and describe the global structure of traveling waves for a class of lattice delay differential equations describing cellular neural networks with distributed delayed signal transmission. We describe the transition of wave profiles from monotonicity, damped oscillation, periodicity, unboundedness and back to(More)
We study the existence of traveling wave solutions for a diffusive predator–prey system. The system considered in this paper is governed by a Sigmoidal response function which in some applications is more realistic than the Holling type I, II responses, and more general than a simplified form of the Holling type III response considered before. Our method is(More)
The variational method and critical point theory are employed to investigate the existence of solutions for 2nth-order difference equation Δ pk−nΔyk−n −1 n f k, yk 0 for k ∈ 1,N with boundary value condition y1−n y2−n · · · y0 0, yN 1 · · · yN n 0 by constructing a functional, which transforms the existence of solutions of the boundary value problem BVP to(More)