A study of the competitive relationship between trout and bass based on differential equations

In this paper, the competitive relationship between trout and perch populations was analyzed by model differential equations, and the stability and final stabilization points under different parameters were explored. It is found that under the premise that global stability is better than local stability, trout and perch can coexist and reach the final stable state when the competition factors satisfy specific conditions; while under other competition conditions, it may lead to the number of one species tends to zero or the number of the other species tends to the maximum capacity. This has important implications for the understanding of biological population competition and the construction of competition models for software products.