The existence of steady-state positive solutions for a spider-insect model
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The existence of steady-state positive solutions for a spider-insect model
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 55, Issue 3, Pages: 64-67(2016)
作者机构:
宝鸡文理学院数学与信息科学学院,陕西,宝鸡,721013
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Published:2016,
Published Online:25 May 2016,
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JIANG Hongling. The existence of steady-state positive solutions for a spider-insect model. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(3):64-67(2016)
DOI:
JIANG Hongling. The existence of steady-state positive solutions for a spider-insect model. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(3):64-67(2016)DOI:
The existence of steady-state positive solutions for a spider-insect model
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.