On the existence of solution of a four-stage and age-structured population dynamics model (Q1995768)
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scientific article; zbMATH DE number 7315367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of solution of a four-stage and age-structured population dynamics model |
scientific article; zbMATH DE number 7315367 |
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On the existence of solution of a four-stage and age-structured population dynamics model (English)
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25 February 2021
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The paper considers a second-order linear system satisfying nonlocal boundary conditions that allow to describe the dynamics of a population pyramid in a continuous way. These systems model the evolution of eggs, larva, female, and male individuals of pest insects taking into account two continuous variables: time and age. Under suitable assumptions, existence of (local and global) solutions is shown using Banach fixed point theorem. Numerical simulations of solutions are also discussed.
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population dynamics
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Banach fixed point theorem
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non-negative solution
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