Dynamical Behaviours of Ttraveling raveling Wave ave SSSSolution olution of Diffusive Nicho Nicholson lson lson’s Blowflies Equation
Employing the theory of functional differential equations, the dynamical behaviors of the traveling wave solution of delayed Nicholson’s blowflies equation were studied, and it was found that there takes place Hopf bifurcaion and exists periodic solution near the equilibrium point1/a ln p/a,0when the delay term τ comes through a threshold 0 τ . By using the theory of center manifold and normal form, the expression of direction and stability of the bifurcating periodic orbit were given.
delay partial differential equation traveling wave solution Hopf bifurcation
Gaoxiang Yang
Department of Mathematics of AnKang University,AnKang, Shanxi,725000
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
347-352
2011-06-01(万方平台首次上网日期,不代表论文的发表时间)