CASAL A,EELBECK J C,LOPEZ-GOMEZ J.Existence and uniqueness of coexistence states for a predator-prey model with diffusion[J].Differential Integral Equations,1994,7(2):411-439.
[2]
DU Y H,LOU Y.Some uniqueness and exact multiplicity results for a predator-prey model[J].Transactions of the American Mathematical Societ,1997,349(6):2443-2475.
[3]
DU Y H,LOU Y.S-shaped global bifurcation curve and Hopf bifurcation of positive solution to a predatorprey model[J].J Differential Equations,1998,144(2):390-440.
[4]
冯孝周,李艳玲,聂华.具有功能反应项的捕食模型解的定性分析[J].西北师范大学学报(自然科学版),2011,47(5):9-16.FENG X Z,LI Y L,NIE H.Qualitative analysis of solutions of predator-prey model with functional responses[J].Journal of Northwest Normal University(Natural Science),2011,47(5):9-16(Ch).
[5]
DANCER E N.On positive solutions of some pairs of differential equations[J].Transactions of the American Mathematical Society,1984,284(2):729-743.
[6]
DANCER E N.On positive solutions of some pairs of differential equations,Ⅱ[J].Journal of Differential Equations,1985,60(2):236-258.
[7]
PAO C V.Nonlinear Parabolic and Elliptic Equations[M].New York:Plenum Press,1992.
[8]
LI L.Coexistence theorems of steady states for predator-prey interacting systems[J].Transactions of the American Mathematical Society,1988,305(1):143-166.
[9]
RUAN W H,FENG W,On the fixed point index and multiple steady states of reaction-diffusion system[J].Differential Integral Equations,1995,8(2):371-391.
[10]
SMOLLER J.Shock Waves and Reaction-Diffusion Equations[M].New York:Spring-Verlag,1994.
[11]
CHEN J P.The qualitative analysis of two species predator-prey model with Holling type Ⅲ functional response[J].Applied Mathematics&Mechanics,1986,7(1):77-86.
[12]
HOLLING C S.The functional response of predatorsto prey density and its role in mimicry and populations regulation[J].Memoirs of the Entomological Society of Canada,1965,97(45):53-60.
[13]
CANO-CASANOVA S,LOPEZ-GOMEZ J.Properties of the principle eigenvalues of a general class if non-classical mixed boundary value problems[J].Journal Differential Equations,2002,178(1):123-211.
[14]
冯孝周,吴建华.具有饱和与竞争项的捕食系统的全局分歧及稳定性[J].系统科学与数学,2010,30(7):979-989.FENG X Z,WU J H.Global bifurcation and stability for prey-predator model with predator saturation and competition[J].Journal of Systems Science and Mathematical Sciences,2010,30(7):979-989(Ch).
[15]
冯孝周,李畅通.具有Holling TypeⅢ反应项的捕食系统正平衡态解的存在性[J].安徽大学学报(自然科学版),2013,37(3):16-21.FENG X Z,LI C T.Existence of positive steady-state for prey-predator system with Holling Type Ⅲ response[J].Journal of Anhui University(Natural Science Edition),2013,37(3):16-21(Ch).
[16]
CRANDALLM G,RABINOWITZ P H.Bifurcation from simple eigenvalues[J].Journal o f Functional Analysis,1971,8:321-340.
[17]
DANCER E N.On the indices of fixed points of mapping in cones and applications[J].Journal of Mathematical Analysis and Applications,1983,91:131-151.
