Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay

المؤلفون المشاركون

Xue, Yakui
Xie, Boli
Wang, Zhijun

المصدر

Abstract and Applied Analysis

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-7، 7ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-05-12

دولة النشر

مصر

عدد الصفحات

7

التخصصات الرئيسية

الرياضيات

الملخص EN

A predator-prey model with both cross diffusion and time delay is considered.

We give the conditions for emerging Turing instability in detail.

Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only of spots and stripe-like patterns, but also of the two coexist.

The obtained results show that this system has rich dynamics; these patterns show that it is useful for the diffusive predation model with a delay effect to reveal the spatial dynamics in the real model.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Xie, Boli& Wang, Zhijun& Xue, Yakui. 2014. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013833

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Xie, Boli…[et al.]. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013833

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Xie, Boli& Wang, Zhijun& Xue, Yakui. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013833

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1013833