Effects of Immigration on the Dynamics of Simple Population Models |
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Authors: | Lewi Stone Deborah Hart |
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Institution: | Department of Zoology, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel. lewi@lanina.tau.ac.il |
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Abstract: | Many simple population models exhibit the period doubling route to chaos as a single parameter, commonly the growth rate, is increased. Here we examine the effect of an immigration process on such models and explain why in the case of one-dimensional ("single-humped") maps, immigration often tends to suppress chaos and stabilise equilibrium behaviour or cyclical oscillations of long period. The conditions for which an increase of immigration "simplifies" population dynamics are examined. |
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