论文标题
收获和增长率在空间异质种群中的作用
The role of harvesting and growth rate for spatially heterogeneous populations
论文作者
论文摘要
本文调查了两种物种在异质环境中受到收获作用的竞争。最现实的收获案例与内在的生长速率有关，并基于此条款而不是随机选择而开发收集功能。我们证明了解决方案对我们考虑的模型的存在和唯一性。从理论上讲，我们指出，当物种共存时，一个可能会驱动另一个物种灭绝，而两个物种都灭绝了，考虑到参数的所有可能的理性价值。这些结果突出了两个收获系数之间的比较研究。最后，我们使用向后的欧拉群求解模型，分离和线性化的时间步进完全离散的算法，并观察到理论和数值发现之间的匹配。
This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are developed based on this clause instead of random choice. We prove the existence and uniqueness of the solution to the model we consider. Theoretically, we state that when species coexist, one may drive the other to die out, and both species extinct, considering all possible rational values of parameters. These results highlight a comparative study between two harvesting coefficients. Finally, we solve the model using a backward-Euler, decoupled, and linearized time-stepping fully discrete algorithm and observe a match between the theoretical and numerical findings.
