Abstract

In this paper, the survival status of the sumatran rhinoceros was studied, the ecological game of the sumatran rhinoceros was put forward according to the critically endangered status, the differential dynamical system model of the sumatran rhinoceros and food was established, and the relationship between the parameters in the model and the land and environmental conditions was discussed. According to the value range of the four indicators, the ecological environment was divided into three conditions of food abundance, food shortage and critical state, so as to obtain the impact and requirements of the sumatran rhinoceros on the ecological environment. The results show that the sumatran rhinoceros lives in cycles under different land area conditions. Analysis from the perspective of the evolution of the ecological environment, the sumatran rhinoceros and food together form an ecological system, the abundant of food can cause sumatran rhinoceros populations, the number of the sumatran rhinoceros too much then can reduce the quantity of food, after reducing the number of the sumatran rhinoceros and will cause the increase in the number of food, this phenomenon is called ecological cycle, namely three environmental situation circulation phenomenon over time. Finally, according to the differential equation, migration is one of the ways that the sumatran rhino can continue to survive when the ecological environment changes.

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