【摘要】 考虑具有时迟的Volterra方程dN/dt =N(t) (α- βM (t- 1) ) ,dM /dt =M (t) (δN(t- 1) -γ) ,(E)其中α ,β ,δ ,γ为正常数 .给出方程 (E)出现周期解分歧现象的条件及重要参数 μ(ε) ,Τ(ε) ,β(ε)的计算方法 .更多还原

【Abstract】 Volterra equation with finite delay was investigateddN(t)/dt=N(t)(α-βM(t-1)), dM(t)/dt=M(t)(δN(t-1)-γ).(E)where α,β,δ,γ are positive constants. Some conditions of bifurcation phenomenon occured to the solutions of equation (E) and the computation formulae for determining the direction of the Hopf bifurcation were obtained.更多还原