A new nonlinear model for the growth of age-structured populations living in patchy habitats
Tài liệu tham khảo
Arthur, 1984, Some general relationships in population dynamics, Popul. Index, 50, 214, 10.2307/2736755
Atkinson, 1981, Competition on a divided and ephemeral resource: a simulation model, J. Anim. Ecol., 50, 461, 10.2307/4067
Bellman, 1963
Busenberg, 1983, A class of nonlinear diffusion problems in age-dependent population dynamics, Nonlinear Anal. T.M.A., 7, 501, 10.1016/0362-546X(83)90041-X
Busenberg, 1983, A degenerate nonlinear diffusion problem in age-structured population dynamics, Nonlinear Anal. T.M.A., 7, 1411, 10.1016/0362-546X(83)90009-3
Busenberg, 1985, Separable models in age-dependent population dynamics, J. Math. Biol., 22, 145, 10.1007/BF00275713
Comins, 1980, Evolutionary stable dispersal strategies, J. Theor. Biol., 82, 205, 10.1016/0022-5193(80)90099-5
Cushing, 1983, Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics, Comput. Math. Appl., 9, 459, 10.1016/0898-1221(83)90060-3
Gantmacher, 1959
Geritz, 1984, The efficacy of dispersal in relation to safe site area and seed production, Oecologia (Berlin), 62, 219, 10.1007/BF00379016
Gurtin, 1974, Non-linear age-dependent population dynamics, Arch. Rat. Mech. Anal., 3, 281, 10.1007/BF00250793
Gurtin, 1979, Some simple models for nonlinear age-dependent population dynamics, Math. Biosci., 43, 199, 10.1016/0025-5564(79)90049-X
Gurtin, 1982, Product solutions and asymptotic behavior for age-dependent, dispersing populations, Math. Biosci., 62, 157, 10.1016/0025-5564(82)90080-3
Hanski, 1981, Coexistence of competitors in patchy environment with and without predation, Oikos, 37, 306, 10.2307/3544121
Hanski, 1982, Dynamics of regional distribution: the core and satellite species hypothesis, Oikos, 38, 210, 10.2307/3544021
Hanski, 1983, Coexistence of competitors in patchy environment, Ecology, 64, 493, 10.2307/1939969
Hanski, 1985, Single-species spatial dynamics may contribute to long-term rarity and commonness, Ecology, 66, 335, 10.2307/1940383
Hassel, 1973, Stability in insect host-parasite models, J. Anim. Ecol., 42, 693, 10.2307/3133
Ives, 1985, Competition within and between species in a patchy environment: relations between microscopic and macroscopic models, J. Theor. Biol., 115, 65, 10.1016/S0022-5193(85)80007-2
Keyfitz, 1968, Introduction to the Mathematics of Population, 450
Keyfitz, 1977
Keyfitz, 1980, Multistate demography and its data: a comment, Environ. Plann., A12, 615, 10.1068/a120615
Klinkhamer, 1983, Neth. J. Zool., 33, 532, 10.1163/002829683X00246
Kuno, 1981, Dispersal and persistence of populations in unstable habitats: a theoretical note, Oecologia (Berlin), 49, 123, 10.1007/BF00376909
Ledent, 1980, Multistate life tables: movement versus transition perspectives, Environ. Plann., A12, 533, 10.1068/a120533
Ledent, 1987, Spatial dynamics of populations with changing birth, death, and migration rates: a generalization of multiregional stable population theory, Environ. Plann., A19, 819, 10.1068/a190819
Lefkovitch, 1985, Spatial characteristics of habitat patches and population survival, Ecol. Modelling, 30, 297, 10.1016/0304-3800(85)90072-9
Leslie, 1945, On the use of matrices in certain population mathematics, Biometrika, 33, 183, 10.1093/biomet/33.3.183
Liaw, 1980, Multistate dynamics: the convergence of an age-by-region population system, Environ. Plann., A12, 589, 10.1068/a120589
Liaw, 1986, Spatial population dynamics, 419
Lotka, 1939, Théorie Analytique des Associations Biologiques, II, 149
Metz, 1983, What are the advantages of dispersing; a paper by Kuno explained and extended, Oecologia (Berlin), 57, 166, 10.1007/BF00379576
Preston, 1982, Age structure, growth, attrition and accession: a new synthesis, Popul. Index, 48, 217, 10.2307/2735961
Rees, 1977
Rogers, 1975
Rogers, 1980, Introduction to multistate mathematical demography, Environ. Plann., A12, 489, 10.1068/a120489
Rorres, 1976, Stability of an age specific population with density dependent fertility, Theor. Popul. Biol., 10, 26, 10.1016/0040-5809(76)90004-6
Rorres, 1979, A nonlinear model of population growth in which fertility is dependent on birth rate, SIAM J. Appl. Math., 37, 423, 10.1137/0137033
Swick, 1977, A non-linear age-dependent model of single species population dynamics, SIAM J. Appl. Math., 32, 484, 10.1137/0132040
Swick, 1981, Stability and bifurcation in age-dependent population dynamics, Theor. Pop. Biol., 20, 80, 10.1016/0040-5809(81)90004-6
Vlad, 1985, A new nonlinear model of age-dependent population growth, Math. Biosci., 76, 161, 10.1016/0025-5564(85)90003-3
Willekens, 1980, Multistate analysis: tables of working life, Environ. Plann., A12, 563, 10.1068/a120563