Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition

Joint Authors

Li, Lifeng
Feng, Xiao-zhou

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-31

Country of Publication

Egypt

No. of Pages

30

Main Subjects

Mathematics

Abstract EN

We investigate positive solutions of a prey-predator model withpredator saturation and competition under homogeneous Dirichlet boundary conditions.

First,the existence of positive solutions and some sufficient and necessary conditions is established byusing the standard fixed point index theory in cones.

Second, the changes of solution branches,multiplicity, uniqueness, and stability of positive solutions are obtained by virtue of bifurcationtheory, perturbation theory of eigenvalues, and the fixed point index theory.

Finally, the exactnumber and type of positive solutions are proved when k or m converges to infinity.

American Psychological Association (APA)

Feng, Xiao-zhou& Li, Lifeng. 2012. Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-1028951

Modern Language Association (MLA)

Feng, Xiao-zhou& Li, Lifeng. Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition. Journal of Applied Mathematics No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-1028951

American Medical Association (AMA)

Feng, Xiao-zhou& Li, Lifeng. Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-1028951

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1028951