JIANG Hongling. The existence of steady-state positive solutions for a spider-insect model[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2016,55(3):64-67.
JIANG Hongling. The existence of steady-state positive solutions for a spider-insect model[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2016,55(3):64-67.DOI:
A one-prey-two-predator spider-insect model is studied. By the variational principle of eigenvalue and the Maximum principle
priori estimates and the necessary conditions of existence for positive solutions are given. Applying the method of space decomposition and implicit function theorem
a sufficient condition of existence of positive solutions is obtained. The results show that
under certain conditions
the coexistence depends on the growth rate of insects.