Đang chuẩn bị liên kết để tải về tài liệu:
Báo cáo hóa học: " Research Article Stochastic Delay Lotka-Volterra Model"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Stochastic Delay Lotka-Volterra Model | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011 Article ID 914270 13 pages doi 10.1155 2011 914270 Research Article Stochastic Delay Lotka-Volterra Model Lian Baosheng 1 Hu Shigeng 2 and Fen Yang1 1 College of Science Wuhan University of Science and Technology Wuhan Hubei 430065 China 2 Department of Mathematics Huazhong University of Science and Technology Wuhan Hubei 430074 China Correspondence should be addressed to Lian Baosheng lianbs@163.com Received 15 October 2010 Accepted 20 January 2011 Academic Editor Alexander I. Domoshnitsky Copyright 2011 Lian Baosheng et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process namely the delay Lotka-Volterra model. The stochastic version of this process appears to have some intriguing properties such as pathwise estimation and asymptotic moment estimation. Indeed their solutions will be stochastically ultimately bounded. 1. Introduction As is well known Lotka-Volterra Model is nonlinear and tractable models of predator-prey system. The predator-prey system is also studied in many papers. In the last few years Mao et al. change the deterministic model in this field into the stochastic delay model. and give it more important properties 1-8 . Fluctuations play an important role for the self-organization of nonlinear systems we will study their influence on a simple nonlinear model of interacting populations that is the Lotka-Volterra model. A simple analysis shows the result that the system allows extreme behaviour leading to the extinction of both of their species or to the extinction of the predator and explosion of the prey. For example in Mao et al. 1-8 we can see that once the population dynamics are .