Local stability of a population with density-dependent fertility |
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Authors: | Chris Rorres |
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Affiliation: | Department of Mathematics, Drexel University, Philadelphia, Pennsylvania 19104 USA |
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Abstract: | The local stability of an equilibrium population configuration is investigated. The population is governed by a density-dependent, age-structured, nonlinear renewal equation. Local stability is shown to depend essentially on the rate of change of the net reproduction rate as a function of the population size. Examples illustrating the results and the characteristics promoting stability are discussed. |
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