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The diffusive Lotka-Volterra oscillating system

✍ Scribed by Jacob Jorné

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
325 KB
Volume
65
Category
Article
ISSN
0022-5193

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📜 SIMILAR VOLUMES

Nonautonomous Lotka–Volterra Systems, I
Nonautonomous Lotka–Volterra Systems, I
✍ Ray Redheffer 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 700 KB

This paper is concerned with the Lotka Volterra system E: u\* i =u i \ a i (t)& : n j=1 b ij (t) u j + , t>t 0 ; u i (t 0 )>0 for i=1, ..., n, where a i and b ij are continuous real-valued functions of the real variable t. Each u i in E satisfies an equation of the form u\* i =u i , i , where , i (t

Nonautonomous Lotka–Volterra Systems, II
Nonautonomous Lotka–Volterra Systems, II
✍ Ray Redheffer 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 526 KB

Being a continuation of Part I, this paper needs only a brief introduction. For i, j=1, ..., n the letters a i and b ij denote continuous real-valued functions of t and u i satisfies In Sections 1 6 we assume where \ is a positive constant. These inequalities collectively will be called the A L in

On a neutral Lotka–Volterra system
On a neutral Lotka–Volterra system
✍ K. Gopalsamy 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 416 KB

## Abstract Sufficient conditions are obtained for the linear stability of the positive equilibrium of the neutral system magnified image in terms of the parameters of the system. The case n=2 is considered in detail and the general case is discussed briefly.