Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure

Joint Authors

Zhang, Lina
Fu, Shengmao

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-03-20

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

In this paper, we consider a cross-diffusion predator-prey model with sex structure.

We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system.

As a result, we find that stationary patterns arise solely from the effect of cross-diffusion.

American Psychological Association (APA)

Fu, Shengmao& Zhang, Lina. 2012. Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993058

Modern Language Association (MLA)

Fu, Shengmao& Zhang, Lina. Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993058

American Medical Association (AMA)

Fu, Shengmao& Zhang, Lina. Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993058

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993058