Research on the mutual influence between the population of deer and grass quantity based on difference method

Abstract

By establishing different difference equation models, this paper analyzes the relationship between the population of deer and grass quantity in the food chain in detailed. It is found that when the maximum quantity of grass changes the trend of the population of the two species is likely to be different: when the maximum quantity of grass is small, the grass quantity will decrease first and then increase, and when the grass quantity is large, it will increase first and then decrease. The trend of the deer population is opposite to the trend of the grass quantity.