Kamrujjaman Md, Keya Kamrun Nahar, Bulut Ummugul, Islam Md Rafiul, Mohebujjaman Muhammad
Department of Mathematics, University of Dhaka, Dhaka, 1000 Bangladesh.
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4 Canada.
J Appl Math Comput. 2023;69(1):603-630. doi: 10.1007/s12190-022-01742-x. Epub 2022 Jun 20.
The study considers a directed dynamics reaction-diffusion competition model to study the density of evolution for a single species population with harvesting effect in a heterogeneous environment, where all functions are spatially distributed in time series. The dispersal dynamics describe the growth of the species, which is distributed according to the resource function with no-flux boundary conditions. The analysis investigates the existence, positivity, persistence, and stability of solutions for both time-periodic and spatial functions. The carrying capacity and the distribution function are either arbitrary or proportional. It is observed that if harvesting exceeds the growth rate, then eventually, the population drops down to extinction. Several numerical examples are considered to support the theoretical results.
The online version contains supplementary material available at 10.1007/s12190-022-01742-x.
本研究考虑一个定向动力学反应扩散竞争模型，以研究异质环境中具有收获效应的单一物种种群的演化密度，其中所有函数按时间序列在空间上分布。扩散动力学描述了物种的增长，其根据具有无通量边界条件的资源函数进行分布。分析研究了时间周期函数和空间函数解的存在性、正性、持久性和稳定性。承载能力和分布函数可以是任意的或成比例的。可以观察到，如果收获超过增长率，那么最终种群会降至灭绝。考虑了几个数值例子来支持理论结果。
在线版本包含可在10.1007/s12190-022-01742-x获取的补充材料。
