Scientia Series A: Mathematical Sciences

Vol. 22 (2012)
Articles

Dynamics of a stochastic predator-prey model with Beddington DeAngelis functional response

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  • Hoang The Tuan,
  • Nguyen Hai Dang,
  • Van Khu Vu
Hoang The Tuan
aHanoi Institue of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam.
Nguyen Hai Dang
Faculty of Mathematics, Mechanics and Informatics, College of Science, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam.
Van Khu Vu
Faculty of Mathematics, Mechanics and Informatics, College of Science, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam.

Published 2012-09-03

Keywords

  • Predator prey model,
  • Beddington DeAngelis functional response,
  • Brownian motion,
  • stochastic differential equation.

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How to Cite

Dynamics of a stochastic predator-prey model with Beddington DeAngelis functional response. (2012). Scientia Series A: Mathematical Sciences, 22, 75-84. https://revistas.usm.cl/scientia/article/view/179

Abstract

This paper is concerned with a stochastic predator-prey model with Beddington DeAngelis functional response. The existence of the global solution and the ultimate boundedness of moments of the solution are proved. Moreover, we also estimate the average in time of the solution.

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