𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behaviour of solutions of Lotka–Volterra systems

✍ Scribed by J. Baris; P. Baris; E. Wawiórko

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
137 KB
Volume
7
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

✦ Synopsis

New sufficient conditions for the competitive exclusion of a few species in some Lotka-Volterra systems are proved. Also an approach based on some results of the matrix Riccati equations and some ideas of the asymptotic methods is developed. In addition, conditions for the existence of finite escape times in solutions of the Lotka-Volterra systems and upper-bounds for these times are obtained.

📜 SIMILAR VOLUMES

Asymptotic behaviour of the stochastic L
Asymptotic behaviour of the stochastic Lotka–Volterra model
✍ Xuerong Mao; Sotirios Sabanis; Eric Renshaw 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 232 KB

This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the Lotka-Volterra model. The stochastic version of this process appears to have far more intriguing properties than its deterministic counterpart. Indeed, the fact that a

Periodic Solutions of Periodic Delay Lot
Periodic Solutions of Periodic Delay Lotka–Volterra Equations and Systems
✍ Yongkun Li; Yang Kuang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 136 KB

By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka᎐Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and imp

Asymptotic behavior of solutions for a L
Asymptotic behavior of solutions for a Lotka–Volterra mutualism reaction–diffusion system with time delays
✍ Yuan-Ming Wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 624 KB

This paper is to investigate the asymptotic behavior of solutions for a time-delayed Lotka-Volterra N-species mutualism reaction-diffusion system with homogeneous Neumann boundary condition. It is shown, under a simple condition on the reaction rates, that the system has a unique bounded time-depend