Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure
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[1] Wendi Wang,et al. A predator-prey system with stage-structure for predator , 1997 .
[2] Christian Jost,et al. About deterministic extinction in ratio-dependent predator-prey models , 1999 .
[3] Sze-Bi Hsu,et al. Rich dynamics of a ratio-dependent one-prey two-predators model , 2001, Journal of mathematical biology.
[4] R. Arditi,et al. Functional responses and heterogeneities: an experimental test with cladocerans , 1991 .
[5] R. Arditi,et al. Variation in Plankton Densities Among Lakes: A Case for Ratio-Dependent Predation Models , 1991, The American Naturalist.
[6] Wendi Wang,et al. Permanence and Stability of a Stage-Structured Predator–Prey Model , 2001 .
[7] Rui Xu,et al. Persistence and global stability for n-species ratio-dependent predator–prey system with time delays , 2002 .
[8] Shengqiang Liu,et al. Extinction and permanence in nonautonomous competitive system with stage structure , 2002 .
[9] Lansun Chen,et al. Optimal harvesting and stability for a two-species competitive system with stage structure. , 2001, Mathematical biosciences.
[10] Dongmei Xiao,et al. STABILITY AND BIFURCATION IN A DELAYED RATIO-DEPENDENT PREDATOR–PREY SYSTEM , 2002, Proceedings of the Edinburgh Mathematical Society.
[11] Y. Kuang,et al. Global analyses in some delayed ratio-dependent predator-prey systems , 1998 .
[12] Jim M Cushing,et al. Periodic Time-Dependent Predator-Prey Systems , 1977 .
[13] H. I. Freedman. Deterministic mathematical models in population ecology , 1982 .
[14] I. Hanski. The functional response of predators: Worries about scale , 1991 .
[15] BIFURCATION ANALYSIS FOR A PREDATOR-PREY SYSTEM WITH PREY DISPERSAL AND TIME DELAY , 2008 .
[16] R Arditi,et al. Parametric analysis of the ratio-dependent predator–prey model , 2001, Journal of mathematical biology.
[17] Xinzhu Meng,et al. PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA–VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS , 2008 .
[18] R. Arditi,et al. Coupling in predator-prey dynamics: Ratio-Dependence , 1989 .
[19] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.
[20] Jianjun Jiao,et al. GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS , 2008 .
[21] H. I. Freedman,et al. Analysis of a model representing stage-structured population growth with state-dependent time delay , 1992 .
[22] R. Gaines,et al. Coincidence Degree and Nonlinear Differential Equations , 1977 .
[23] Fred Brauer,et al. Stability of stage-structured population models , 1987 .
[24] Fordyce A. Davidson,et al. Permanence and periodicity of a delayed ratio-dependent predator-prey model with stage structure , 2005 .
[25] R. Arditi,et al. Empirical Evidence of the Role of Heterogeneity in Ratio‐Dependent Consumption , 1993 .
[26] S. Hsu,et al. Global analysis of the Michaelis–Menten-type ratio-dependent predator-prey system , 2001, Journal of mathematical biology.
[27] Fordyce A. Davidson,et al. Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal , 2004, Appl. Math. Comput..
[28] Yang Kuang,et al. Global qualitative analysis of a ratio-dependent predator–prey system , 1998 .
[29] Xinyu Song,et al. Modelling and analysis of a single-species system with stage structure and harvesting , 2002 .
[30] R. Agarwal,et al. Recent progress on stage-structured population dynamics , 2002 .
[31] Yang Kuang,et al. Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment , 1995, SIAM J. Appl. Math..
[32] H. I. Freedman,et al. A time-delay model of single-species growth with stage structure. , 1990, Mathematical biosciences.
[33] Ke Wang,et al. Periodicity in a Delayed Ratio-Dependent Predator–Prey System☆☆☆ , 2001 .
[34] Sze-Bi Hsu,et al. A ratio-dependent food chain model and its applications to biological control. , 2003, Mathematical biosciences.
[35] Jianhong Wu,et al. Persistence and global asymptotic stability of single species dispersal models with stage structure , 1991 .
[36] Wan-Tong Li,et al. Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response , 2004 .