JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (11): 115-122.doi: 10.6040/j.issn.1671-9352.0.2016.282
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FU Juan, ZHANG Rui, WANG Cai-jun, ZHANG Jing
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| [1] BEDDINGTON J R. Mutual interference between parasites or predator and its effect on seraching efficiency[J]. J Animal Ecol, 1975, 44(1):331-340. [2] DEANGELIS D L, GOLDSTEIN R A, ONEILL R V. A model for trophic interaction[J]. Ecology, 1975, 56(4):881-892. [3] CANTRELL R S, COSNER C. On the dynamics of predator-prey models with the Beddington-DeAngelis functional response[J]. J Math Anal Appl, 2001, 257(1):206-222. [4] HWANG T W. Global analysis of the predator-prey system with Beddington-DeAngelis functional response[J]. J Math Anal Appl, 2003, 281(1):395-401. [5] HWANG T W. Uniqueness of limit cycles analysis of the predator-prey system with Beddington-DeAngelis functional response[J]. J Math Anal Appl, 2004, 290(1):113-122. [6] MENG Fan, YANG Kuang. Dynamics of a non-autonomous predator-prey system with the Beddington-DeAngelis functional response[J]. J Math Anal Appl, 2004, 295(1):15-39. [7] LIU Zhihua, YUAN Rong. Stability and bifurcation in a delayed predator-prey system with Beddington-DeAngelis functional response[J]. J Math Anal Appl, 2004, 296(2):521-537. [8] LIU Shengqiang, ZHANG Jianhua. Coexistence and stability of predator-prey model with Beddington-DeAngelis functional response and stage structure[J]. J Math Anal Appl, 2008, 342(1):446-460. [9] GUO Gaihui, WU Jianhua. Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response[J]. Nonlinear Anal, 2010, 72(3/4):1632-1646. [10] NIE Hua, WU Jianhua. Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor[J]. Nonlinear Anal Real World Appl, 2010, 11(5):3639-3652. [11] CHEN Wenyan, WANG Mingxin. Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion[J]. Mathematical and Computer Modelling, 2005, 42(1/2):31-34. [12] SHI Junping, XIE Zhifu, LITTLE K. Cross-diffusion induced instability and stability in reaction-diffusion systems[J]. J Appl Anal Comput, 2011, 1(1):95-119. [13] WANG Weiming, WANG Wenjuan, LIN Yezhi, et al. Pattern selection in a predation model with self and cross diffusion[J]. Chin Phys B, 2011, 20(3):1656-1674. [14] FU Shengao, ZHANG Lina, HU Ping. Global behavior of solutions in a Lotka-Volterra predator-prey model with prey-stage structure[J]. Nonlinear Analysis, 2013(14):2027-2045. [15] 王明新. 非线性型抛物方程[M]. 北京: 科学出版社, 1993. WANG Mingxin. Nonlinear parabolic equation[M]. Beijing: Science Press, 1993. |
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