A note on dynamics of population with history-dependent birth rate
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A model for the dynamics of a single-species population whose birth rate depends on densities of previous generations is introduced. A difference equation formulation is proposed and the solutions classified for the various parameter values. Data from an experimental population of mice growing in limited space is cited and compared with the model predictions.
KeywordsDensity Dependence Mouse Population Fixed Space Cold Spring Harbor Syrup Generate Function Technique
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- Calhoun, J. B. (1973) “Death Squared: the Explosive Growth and Demise of a Mouse Population.”Proc. R. Soc. Med.,66, 80–89.Google Scholar
- Goldberg, S. (1958).An Introduction to Difference Equations, New York: Wiley.Google Scholar
- Hutchinson, G. E. (1948). “Circular Causal Systems in Ecology.”Ann. N.Y. Acad. Sci.,50, 221–246.Google Scholar
- Lotka, A. J. (1956).Elements of Mathematical Biology, Dover.Google Scholar
- May, R. M., G. R. Conway, M. P. Hassell and T. R. E. Southwood. (1974). “Time Delays, Density Dependence, and Single Species Oscillation.”Animal Ecol.,43, 474–770.Google Scholar
- Maynard Smith, J. (1968).Mathematical Ideas in Biology. London: Cambridge Univ. Press.Google Scholar
- Wangersky, R. J. and W. J. Cunningham. (1957). “Time Lag in Population Models.”Cold Spring Harbor Symp. Quart. Biol.,22, 329–338.Google Scholar