Berryman, 1992, The origin and evolution of predator–prey theory, Eco Soc Am, 73, 1530
Ruan, 2001, Global analysis in a predator-prey system with nonmonotonic functional response, SIAM J Appl Math, 61, 1445, 10.1137/S0036139999361896
Abbas, 2010, Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model, J Math Anal Appl, 367, 249, 10.1016/j.jmaa.2010.01.024
Bazykin, 1998, Nonlinear dynamics of interacting populations, World Sci
Kratina, 2009, Functional responses modified by predator density, Oecologia, 159, 425, 10.1007/s00442-008-1225-5
Haiyin, 2011, Dynamics of the density dependent predator–prey system with Bedinton–DeAngelis functional response, J Math Anal Appl, 374, 644, 10.1016/j.jmaa.2010.08.029
Abbas, 2012, Almost periodic solution of a non-autonomous model of phytoplankton allelopathy, Nonlinear Dyn, 67, 203, 10.1007/s11071-011-9972-y
Anderson, 2001, Predator responses, prey refuges, and density-dependent mortality of a marine fish, Ecology, 82, 245, 10.1890/0012-9658(2001)082[0245:PRPRAD]2.0.CO;2
Bairagi, 2007, Role of infection on the stability of a predator-prey system with several response functions – a comparative study, J Theor Biol, 248, 10, 10.1016/j.jtbi.2007.05.005
Upadhyay, 2009, Dynamics of three species food chain model with Crowley–Martin type functional response, Chaos, Solit Fract, 42, 1337, 10.1016/j.chaos.2009.03.020
Sklaski, 2001, Functional responses with predator interference: viable alternative to Holling type II model, Ecology, 82, 3083, 10.1890/0012-9658(2001)082[3083:FRWPIV]2.0.CO;2
Upadhyay, 2010, Dynamic complexities in a tri-trophic food chain model with Holling type II and Crowley–Martin functional response, Nonlinear Anal: Model Control, 15, 361, 10.15388/NA.15.3.14331
Crowley, 1989, Functional responses and interference within and between year classes of a dragonfly population, J N Am Benth Soc, 8, 211, 10.2307/1467324
Dong, 2013, The asymptotic behaviour of a chemostat model with Crowley–Martin type functional response and time delays, J Math Chem, 51, 1231, 10.1007/s10910-012-0138-z
Tripathi, 2014, Dynamical analysis of a prey–predator model with Beddington–DeAngelis type function response incorporating a prey refuge, Nonlinear Dyn, 80, 177, 10.1007/s11071-014-1859-2
Lv, 2013, A prey-predator model with harvesting for fishery resource with prey reserve area, Appl Math Model, 37, 3048, 10.1016/j.apm.2012.07.030
Perc, 2007, Noise-guided evolution within cyclical interactions, New J Phys, 267, 10.1088/1367-2630/9/8/267
Perc, 2007, Cyclical interactions with alliance-specific heterogeneous invasion rates, Phys Rev E, 75, 052102, 10.1103/PhysRevE.75.052102
Szolnoki, 2014, Cyclic dominance in evolutionary games: a review, J R Soc Interface, 100, 20140735, 10.1098/rsif.2014.0735
Perc, 2013, Collective behavior and evolutionary games - an introduction, Chaos, Solit Fract, 56, 1, 10.1016/j.chaos.2013.06.002
Castellano, 2009, Statistical physics of social dynamics, Rev Modern Phys, 81, 591, 10.1103/RevModPhys.81.591
Szolnoki, 2013, Correlation of positive and negative reciprocity fails to confer an evolutionary advantage:phase transitions to elementary strategies, Phys Rev X, 3, 041021
Szolnoki, 2012, Defense mechanisms of empathetic players in the spatial ultimate game, Phys Rev Lett, 109, 078701, 10.1103/PhysRevLett.109.078701
Szolnoki, 2010, Reward and cooperation in the spatial public good game, Lett J Exploring Front Phys, 92, 38003
Cantrell, 2001, On the dynamics of predator–prey models with the Beddington–DeAngelis functional response, J Math Anal Appl, 257, 206, 10.1006/jmaa.2000.7343
Freedman, 1980
Brikhoff, 1982
Aziz-Alaoui, 2003, Boundedness and global stability for a predator–prey model with modified Leslie–Gower and Holling-type II schemes, Appl Math Lett, 16, 1069, 10.1016/S0893-9659(03)90096-6
Oaten, 1975, Functional response and stability in predator–prey systems, Am Nat, 109, 289, 10.1086/282998
Perko, 2001
Freedman, 1984, Persistence in models of three interacting predator–prey populations, Math Biosci, 68, 213, 10.1016/0025-5564(84)90032-4
Tripathi, 2012, Stability analysis of two prey one predator model, AIP Conf Proc, 1479, 905, 10.1063/1.4756288
Lotka, 1956
DeAngelis, 1975, A model for tropic interaction, Ecology, 56, 881, 10.2307/1936298
Sarwardi, 2014, Persistence and global stability of Baazykin predator-prey model with Beddington–DeAngelis response function, Commun Nonlinear Sci Numer Simulat, 19, 189, 10.1016/j.cnsns.2013.05.029
Tripathi, 2014, Local and global stability analysis of two prey one predator model with help, Commun Nonlinear Sci Numer Simulat, 19, 3284, 10.1016/j.cnsns.2014.02.003
Haque, 2011, A detailed study of the Beddington–DeAngelis predator-prey model, Math Biosci, 234, 1, 10.1016/j.mbs.2011.07.003
Bereta, 1998, Global analysis in some delayed ratio dependent predator–prey systems, Nonlin Anal TMA, 32, 381, 10.1016/S0362-546X(97)00491-4
Kuang, 1993
Hsu, 2001, Global analysis of the Michaelis–Menten-type ratio-dependent predator–prey system, J Math Biol, 42, 489, 10.1007/s002850100079
Liu, 2006, A stage-structured predator–prey model of Bedington–DeAngelis type, SIAM J Appl Math, 66, 1101, 10.1137/050630003
Liu, 2010, Predator–prey model of Bedington–DeAngelis type with maturation and gestation delays, Nonlinear Anal RWA, 11, 4072, 10.1016/j.nonrwa.2010.03.013
Annik, 2001, Predator–prey models with delay and prey harvesting, J Math Biol, 43, 247, 10.1007/s002850100095
Butler, 1986, Uniformly persistent systems, Proc Am Math Soc, 96, 425, 10.1090/S0002-9939-1986-0822433-4
Hassell, 1971, Mutual interference between searching insect parasites, J Anim Ecol, 40, 473, 10.2307/3256
Tripathi, 2015, A density dependent delayed predator-prey model with Beddington–DeAngelis type function response incorporating a prey refuge, Commun Nonlinear Sci Numer Simulat, 22, 427, 10.1016/j.cnsns.2014.08.018
Hassard, 1981, Theory and application of Hopf bifurcation, CUP Arch
Chen, 2007, Dynamic behaviours of a delay differential equation model of plankton allelopathy, J Comput Appl Math, 206, 733, 10.1016/j.cam.2006.08.020
Song, 2001, Optimal harvesting and stability with stage-structure for a two species competitive system, Math Biosci, 170, 173, 10.1016/S0025-5564(00)00068-7
Gopalsamy, 1992
Levin, 1977, A more functional response to predator–prey stability, Am Nat, 111, 381, 10.1086/283170
Freedman, 1983, The trade-off between mutual interference and time lags in predator–prey systems, Bull Math Biol, 45, 991, 10.1007/BF02458826
Hale, 1993