【摘要】 利用J.Wu和X.Zou(J.Dynam.Diff.Eqns.,2001,13(3):651～687.)建立的解的存在性理论,研究 2u1(x,t) u1(x,t) t=D1b1+a1u2(x,t-τ2)], x2+r1u1(x,t)[1-u1(x,t-τ1) u2(x,t) 2u2(x,t) t=D2b2+a2u1(x,t-τ4)], x2+r2u2(x,t)[1-u2(x,t-τ3)的行波解,其中x∈R,t∈R,ui(x,t)∈R,Di>0,ri>0,ai>0,bi>0,i=1,2,a1a2<1,τj>0,j=1,2,3,4,得到了这个系统波前解存在的充分条件.更多还原

【Abstract】 Using the theory developed by J. Wu and X. Zou（J. Dynam. Diff. Eqns.,2001,13（3）:651～687.）, this paper studied travelling wave solutions of the reaction-diffusive equationsu₁（x,t）t=D₁²u₁（x,t）x²+r₁u₁（x,t）[1-u₁（x,t-τ₁）b₁+a₁u₂（x,t-τ₂）],u₂（x,t）t=D₂²u₂（x,t）x²+r₂u₂（x,t）[1-u₂（x,t-τ₃）b₂+a₂u₁（x,t-τ₄）],where x∈R,t∈R,u_i（x,t）∈R,D_i>0,r_i>0,a_i>0,b_i>0,i=1,2,a₁a₂<1,τ_j>j=1,2,3,4, and a sufficient condition for the existence of wave front solution is obtained for this system.更多还原