Application of Special Function Spaces to the Study of Nonlinear Integral Equations Arising in Equilibrium Spatial Logistic DynamicsстатьяПеревод
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Дата последнего поиска статьи во внешних источниках: 26 января 2022 г.
Аннотация:In this paper, we study a nonlinear integral equation that arises in a model of spatial logistic dynamics. The problem of this equation solution existence is investigated by introducing special spaces of functions that are integrable up to a constant. Sufficient conditions are established for the biological characteristics and the parameters of the third spatial moment closure, that guarantee the existence and uniqueness of the solution of the equation described above. In addition, it is shown that this solution is not zero. This means that under the appropriate conditions, the equilibrium state of the population of a certain species exists, unique, and does not coincide with the state of extinction.