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On the Existence of an Equilibrium in the Dieckmann–Law’s Model in the Case of Piecewise Constant Kernelsстатья
- Авторы: Nikolaev M.V., Nikitin A.A.
- Журнал: Differential Equations
- Том: 60
- Номер: 9
- Год издания: 2024
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 1198
- Последняя страница: 1208
- DOI: 10.1134/S0012266124090064
- Аннотация: The paper considers the logistic dynamics model developed by U. Dieckmann and R. Law. The analysis of a nonlinear integral equation describing the equilibrium state of a single-species community with a three-parameter closure of the third spatial moment is carried out in the case where the dispersion and competition kernels are piecewise constant functions.Sufficient conditions for the solvability of the aforementioned equation are established.Keywords: nonlinear integral equation, population dynamics
- Добавил в систему: Никитин Алексей Антонович