The effect of seasonal harvesting on a single-species discrete population model with stage structure and birth pulses

Aiello, 1990, A time-delay model of single-species growth with stage structure, Math. Biosci., 101, 139, 10.1016/0025-5564(90)90019-U Aiello, 1992, Analysis of a model representing stage-structured population growth with state-dependent time delay, SIAM J. Appl. Math., 3, 855, 10.1137/0152048 Hastings, 1984, Delay in recruitment at different trophic levels: effects on stability, J. Math. Biol., 21, 35, 10.1007/BF00275221 Cai, 1992, The effects of a stage-structured population growth model, Nonlin. Anal. Th. Mech. Appl., 16, 95, 10.1016/0362-546X(92)90113-S Freedman, 1991, Persistence and global asymptotic stability of single species dispersal models with stage structure, Quart. Appl. Math., 2, 351, 10.1090/qam/1106397 Gurney, 1983, The systematic formulation of tractable single species population models incorporating age structure, J. Animal Ecol., 52, 479, 10.2307/4567 Bainov, 1989 Hastings, 1994, Persistence of transients in spatially structured ecological models, Science, 263, 1133, 10.1126/science.263.5150.1133 Freedman, 1980 Hinggins, 1997, Density dependence and age structure: nonlinear dynamics and population behavior, Am. Nat., 149, 247, 10.1086/285989 Gao, 2005, Dynamic complexities in a single-species discrete population model with stage structure and birth pulses, Chaos, Solitons & Fractals, 23, 519, 10.1016/j.chaos.2004.05.047 Tang, 2002, Density-dependent birth rate, birth pulses and their population dynamic consequences, J. Math. Biol., 64, 169 Robert, 1998, The dynamics of an infectious disease in a population with birth pulses, Math. Biosci., 149, 23, 10.1016/S0025-5564(97)10016-5 Tang, 2003, The effect of seasonal harvesting on stage-structured population models, J. Math. Biol., 48, 357, 10.1007/s00285-003-0243-5 Jury, 1974 May, 1974, Biological population with nonoverlapping generations: stable points, stable cycles, and chaos, Science, 186, 645, 10.1126/science.186.4164.645 May, 1976, Bifurcations and dynamics complexity in simple ecological models, Am. Nat., 110, 573, 10.1086/283092 Eckmann, 1983, Routes to chaos with special emphasis on period doubling Collet, 1980 Hauser, 1997, Routs to chaos in the peroxidase–oxidase reaction: period-doubling and period-adding, J. Phys. Chem. B, 101, 5075, 10.1021/jp9707549 Kaneko, 1983, On the period-adding phenomena at the frequency locking in a one-dimensional mapping, Prog. Theor. Phys., 69, 403, 10.1143/PTP.69.403 Guckenheimer, 1977, The dynamics of density dependent population models, J. Math. Biol., 4, 101, 10.1007/BF00275980 Ellison, 1991, Shooting and compensatory mortality in tetarconid, Ornis Scand., 22, 229, 10.2307/3676595 Smith, 1992, Hunting and mallard survival, 1979–88, J. Wildl. Manage., 56, 306, 10.2307/3808827 Smith, 1994, Hunting and mallard survival, a reply, J. Wildl. Manage., 58, 578, 10.2307/3809332 Small, 1991, Predation and hunting mortality of ruffed grouse in central Wisconsin, J. Wildl. Manage., 55, 512, 10.2307/3808983 Anderson, 1976, Population ecology of the mallard VI, the effect of exploitation on survival, US Fish Wildl. Serv. Resour. Publ., 128, 1 Roseberry, 1979, Bobwhite population responses to exploitation: real and simulated, J. Wildl. Manage., 43, 285, 10.2307/3800338 Clark, 1976 Nicholson, 1954, An outline of the dynamics of animal populations, Aust. J. Zool., 2, 9, 10.1071/ZO9540009 Gurney, 1983, The systematic formulation of tractable single-species population models incorporating age-structure, J. Anim. Ecol., 52, 479, 10.2307/4567