On the oscillation and asymptotic behavior of 𝑁̇(𝑡)=𝑁(𝑡)[𝑎+𝑏𝑁(𝑡-𝜏)-𝑐𝑁²(𝑡-𝜏)]-Reference-Cited by-同舟云学术

On the oscillation and asymptotic behavior of 𝑁̇(𝑡)=𝑁(𝑡)[𝑎+𝑏𝑁(𝑡-𝜏)-𝑐𝑁²(𝑡-𝜏)]

Published:1990 Issue:3 Volume:48 Page:433-440
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Gopalsamy K.,Ladas G.

Abstract

We obtained sufficient conditions for all positive solutions of the equation in the title to oscillate about the positive equilibrium N ∗ {N^ * } . We also found sufficient conditions for the global attractivity of N ∗ {N^ * } .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1990-48-03/S0033-569X-1990-1074958-9/S0033-569X-1990-1074958-9.pdf

Reference8 articles.

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4. M. E. Gilpin and F. J. Ayala, Global models of growth and competition, Proc. Nat. Acad. Sci. 70, 3590–3593 (1973)

5. A delay induced bifurcation to oscillations;Gopalsamy, K.;J. Math. Phys. Sci.,1982

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