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Global dynamics of nonlinear two-stages age-dependent populations. (English) Zbl 1156.92034

Summary: We investigate the global behavior for a population whose members are divided into two classes: juveniles and adults, with mortalities age- and density-dependent. Laplace transforms are used to examine the asymptotic dynamics of age profiles, which describes completely the evolution process of the nonlinear population system. Our result can be viewed as a generalization of the Sharp-Lotka theorem in some nonlinear situations.

MSC:

92D25 Population dynamics (general)
45K05 Integro-partial differential equations
44A10 Laplace transform
35A99 General topics in partial differential equations
35B99 Qualitative properties of solutions to partial differential equations
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References:

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