Existence and the dynamical behaviors of the positive solutions for a ratio-dependent predator-prey system with the crowing term and the weak growth
The authors study a ratio-dependent predator-prey system with the crowding term and the weak growth in the prey equation. They obtain existence of multiple positive steady state solutions of the predator-prey system, and the dynamical behavior of its positive solutions. These results show that the predator and the prey possess not only the common coexistence, but also the very weak coexistence state in which both of the predator and the prey are very low. They may be used to explain some special phenomena which under some bad environment, the predator and the prey may still coexist.
scientific article; zbMATH DE number 6824722
scientific article