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Extinction in a nonautonomous competitive Lotka–Volterra system

✍ Scribed by Jiandong Zhao; Liping Fu; Jiong Ruan


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
359 KB
Volume
22
Category
Article
ISSN
0893-9659

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📜 SIMILAR VOLUMES


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
✍ 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