Abstrakti
We model the evolution of two competing populations by a two-dimensional size-dependent branching process of Ricker type. For a small force of inhibition by the present population (modeling, e.g., scarcity of food) the process typically follows the corresponding deterministic Ricker competition model closely, for a very long time. Under some conditions, notably a mutual invasibility condition, the deterministic model has a coexistence fixed point in the open first quadrant. The asymptotic behaviour is studied through the quasi-stationary distribution of the process. We initiate a study of those distributions as the inhibitive force approach 0.
Alkuperäiskieli | Ei tiedossa |
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Otsikko | Difference Equations, Discrete Dynamical Systems and Applications |
Toimittajat | Lluís Alsedà i Soler, Jim M. Cushing, Saber Elaydi, Alberto Adrego Pinto |
Kustantaja | Springer |
Sivut | 135–144 |
ISBN (elektroninen) | 978-3-662-52927-0 |
ISBN (painettu) | 978-3-662-52926-3 |
Tila | Julkaistu - 2016 |
OKM-julkaisutyyppi | A4 Artikkeli konferenssijulkaisuussa |
Tapahtuma | 18th International Conference on Difference Equations and Applications - 18th International Conference on Difference Equations and Applications Kesto: 23 heinäk. 2012 → 27 heinäk. 2012 |
Konferenssi
Konferenssi | 18th International Conference on Difference Equations and Applications |
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Ajanjakso | 23/07/12 → 27/07/12 |