<p>A&#xa0;non-local boundary value problem is considered that describes the stationary states of population dynamics, taking into account the mobility of individuals. Conditions for the existence of a&#xa0;unique continuous stationary solution are obtained. Using the method of energy inequalities, an a&#xa0;priori estimate of the continuous dependence of the solution on the initial data is derived. The results obtained may be useful for predicting the dynamics of the age structure of a&#xa0;population.</p>

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Stationary states of a population model accounting for individual mobility

  • A. A. Kaygermazov

摘要

A non-local boundary value problem is considered that describes the stationary states of population dynamics, taking into account the mobility of individuals. Conditions for the existence of a unique continuous stationary solution are obtained. Using the method of energy inequalities, an a priori estimate of the continuous dependence of the solution on the initial data is derived. The results obtained may be useful for predicting the dynamics of the age structure of a population.