How species and ecosystems respond to the threatened environmental conditions are attracting phenomenon facing ecologists. One can expect species fight against these forces to get rid of extinction, i.e., species tend to adapt genetically or move to a new environment to resilience against extinction. In this paper, this problem is focused theoretically by considering a coupled of the oxygen-plankton model where planktons’ habitat changes and beachhead as a response to climate change. Hence, the dynamics of the oxygen-plankton model is considered assuming the spatial gradient of the growth rate of oxygen, in concern with altered sea surface temperature. It is observed that there exists a relationship between the slope of the gradient and the beachhead at which the oxygen-plankton system can stably survive, which can be defined by a simple function that separates the areas of extinction and persistence. Findings reveal that environmental gradient is an alternative way for species to create a new habitat and sustain the species persistence. Therefore, in this paper, it is shown that, in theory, the recovery of plankton extinction and oxygen depletion under climate change can be achieved by adding a spatial gradient.

物种和生态系统如何应对受威胁的环境条件正在吸引生态学家面对的现象。可以预期，与这些力量作斗争的物种将摆脱灭绝，即，物种趋于通过遗传适应或迁移到新的环境中以具有抵御灭绝的能力。在本文中，此问题在理论上是通过考虑氧浮游生物模型的耦合来解决的，其中浮游生物的栖息地变化和滩头对气候变化的响应。因此，考虑到海表温度的变化，考虑了氧气-浮游生物模型的动力学，并假设了氧气生长速率的空间梯度。可以看出，梯度斜率与滩头之间存在一定的关系，氧浮游生物系统可以在该滩头上稳定生存，这可以通过一个简单的函数来定义，该函数将灭绝和持久性区域分开。研究结果表明，环境梯度是物种创造新栖息地并维持物种持久性的另一种方式。因此，本文表明，从理论上讲，通过增加空间梯度可以实现气候变化下浮游生物的灭绝和耗氧量的恢复。