𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Modelling and qualitative analysis of a predator–prey system with state-dependent impulsive effects

✍ Scribed by Yuan Tian; Kaibiao Sun; Lansun Chen


Book ID
113784807
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
447 KB
Volume
82
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Qualitative analysis of a stochastic rat
✍ Chunyan Ji; Daqing Jiang; Xiaoyue Li 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 434 KB

A stochastic ratio-dependent predator-prey model is investigated in this paper. By the comparison theorem of stochastic equations and Itô's formula, we obtain the global existence of a positive unique solution of the ratio-dependent model. Besides, a condition for species to be extinct is given and

Qualitative analysis of a predator-prey
✍ Torsten Lindström 📂 Article 📅 1993 🏛 Springer 🌐 English ⚖ 989 KB

Fairly regular multiannual microtine rodent cycles are observed in boreal Fennoscandia. In the southern parts of Fennoscandia these multiannual cycles are not observed. It has been proposed that these cycles may be stabilized by generalist predation in the south. We show that if the half-saturation

Global Qualitative Analysis for a Ratio-
✍ Sanyi Tang; Lansun Chen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 147 KB

A ratio-dependent predator-prey model with time lag for predator is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence, and stability are analyzed. We note that for a ratio-dependent system local asymptotic st