On a nonlinear nonlocal model for a population with separate dispersal and sedentary stages. (December 2021)

• Record Type: Journal Article
• Authors: Deng, Keng; Huang, Qihua
• Is Part Of: Nonlinear analysis. Volume 62(2021)
• Publication Date: 2021-12
• Subjects: Hybrid model -- Comparison principle -- Existence–uniqueness -- Persistence; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103366
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: 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.