Chaos, noise, and extinction in models of population growth

[1]  H. Haken,et al.  The influence of noise on the logistic model , 1981 .

[2]  M. Feigenbaum.  Universal behavior in nonlinear systems , 1983 .

[3]  Itinerary of a discontinuous map from the continued fraction expansion , 1988 .

[4]  Arkady Pikovsky,et al.  A dynamical model for periodic and chaotic oscillations in the Belousov-Zhabotinsky reaction , 1981 .

[5]  R. Pérez,et al.  Fine Structure of Phase Locking , 1982 .

[6]  Robert M. May,et al.  Patterns of Dynamical Behaviour in Single-Species Populations , 1976 .

[7]  C. Evans,et al.  Studies on a Population Cycle of Snowshoe Hares on the Lake Alexander Area I. Gross Annual Censuses, 1932-1939 , 1940 .

[8]  C. Evans,et al.  Studies on a Population Cycle of Snowshoe Hares on the Lake Alexander Area III. Effect of Reproduction and Mortality of Young Hares on the Cycle , 1940 .

[9]  J. Felsenstein.  r- and K-Selection in a Completely Chaotic Population Model , 1979, The American Naturalist.

[10]  Colin W. Clark,et al.  Mathematical Bioeconomics: The Optimal Management of Renewable Resources. , 1993 .

[11]  K. D. C. Stoodley.  Time Series and Systems Analysis with Applications , 1985 .

[12]  L. Glass,et al.  UNIVERSALITY AND SELF-SIMILARITY IN THE BIFURCATIONS OF CIRCLE MAPS , 1985 .

[13]  D. Jenkins,et al.  Population Studies on Red Grouse, Lagopus lagopus scoticus (Lath.) in North-East Scotland , 1963 .

[14]  T. Bellows.  The Descriptive Properties of Some Models for Density Dependence , 1981 .

[15]  B. Huberman,et al.  Fluctuations and simple chaotic dynamics , 1982 .

[16]  R. May,et al.  Bifurcations and Dynamic Complexity in Simple Ecological Models , 1976, The American Naturalist.

[17]  M. Mackey,et al.  Noise and statistical periodicity , 1987 .

[18]  R. Devaney.  An Introduction to Chaotic Dynamical Systems , 1990 .

[19]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

[20]  C. Pennycuick,et al.  A computer model for simulating the growth of a population, or of two interacting populations. , 1968, Journal of theoretical biology.

[21]  J. Beddington.  Age distribution and the stability of simple discrete time population models. , 1974, Journal of theoretical biology.

[22]  L. Glass,et al.  Self-similarity in periodically forced oscillators , 1983 .

[23]  Paul L. Errington,et al.  Predation and Vertebrate Populations , 1946, The Quarterly Review of Biology.

[24]  P. L. Errington.  Some Contributions of a Fifteen-Year Local Study of the Northern Bobwhite to a Knowledge of Population Phenomena , 1945 .

[25]  C. Evans,et al.  Studies on a Population Cycle of Snowshoe Hares on the Lake Alexander Area II. Mortality According to Age Groups and Seasons , 1940 .

[26]  D. Chitty.  Mortality among voles (Microtus agrestis) at Lake Vyrnwy, Montgomeryshire in 1936–9 , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[27]  S. Fretwell.  Populations in a seasonal environment. , 1973, Monographs in population biology.

[28]  Stuart L. Pimm,et al.  The variability of population densities , 1988, Nature.

[29]  P. L. Errington.  OF POPULATION CYCLES AND UNKNOWNS , 1957 .