On a nonlinear nonlocal model for a population with separate dispersal and sedentary stages

The life cycles of many species include separate dispersal and sedentary stages. To understand the population dynamics of such species, we study a hybrid model consisting of a reaction–diffusion equation that governs the random movement and settlement of dispersal individuals and an age-structured h...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2021-12, Vol.62, p.103366, Article 103366
Main Authors: Deng, Keng, Huang, Qihua
Format: Article
Language:English
Subjects:
Comparison principle
Existence–uniqueness
Hybrid model
Persistence
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Summary:The life cycles of many species include separate dispersal and sedentary stages. To understand the population dynamics of such species, we study a hybrid model consisting of a reaction–diffusion equation that governs the random movement and settlement of dispersal individuals and an age-structured hyperbolic equation that describes the growth of sedentary individuals. We establish the existence and uniqueness of the solution of the model using the monotone method based on a comparison principle. We study the population persistence and extirpation by means of three measures. We also verify the theoretical results through numerical simulations.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2021.103366