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.

中文翻译：

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关于具有不同分散和久坐阶段的种群的非线性非局部模型

许多物种的生命周期包括独立的分散和定居阶段。为了了解此类物种的种群动态，我们研究了一个混合模型，该模型由控制分散个体的随机运动和定居的反应-扩散方程和描述久坐个体生长的年龄结构双曲线方程组成。我们采用基于比较原理的单调方法建立模型解的存在唯一性。我们通过三种措施来研究种群的持久性和灭绝性。我们还通过数值模拟验证了理论结果。