Extinction of Species in Nonautonomous Lotka-volterra Systems

  title={Extinction of Species in Nonautonomous Lotka-volterra Systems},
  author={S N Shah Ahmad},
A nonautonomous nth order Lotka-Volterra system of differential equations is considered. It is shown that if the coefficients satisfy certain inequalities, then any solution with positive components at some point will have all of its last n − 1 components tend to zero, while the first one will stabilize at a certain solution of a logistic equation. 

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 10 references

An exclusion principle for periodic competitive systems in three dimensions

  • R. Ortega, A. Tineo
  • Nonlinear Anal
  • 1998
1 Excerpt

Coexistence states for periodic competitive Kolmogorov systems

  • A. Battauz, F. Zanolin
  • J. Math. Anal. Appl
  • 1998
1 Excerpt

Extinction in nonautonomous T -periodic competitive Lotka

  • S. Ahmad, F. Montes de Oca
  • Volterra systems, Appl. Math. Comput
  • 1998
2 Excerpts

Nonautonomous Lotka-Volterra systems, I

  • R. Redheffer
  • J. Diff. Eq
  • 1996
1 Excerpt

Nonautonomous Lotka-Volterra systems, II

  • R. Redheffer
  • J. Diff. Eq
  • 1996
1 Excerpt

On the nonautonomous N-competing species

  • S. Ahmad, A. C. Lazer
  • problems, Applicable Anal
  • 1995
1 Excerpt

A different consideration about the globally asymptotically stable solution of the periodic n-competing species

  • A. Tineo, C. Alvarez
  • problem, J. Math. Anal. Appl
  • 1991

An application of topological degree to the periodic competing species

  • C. Alvarez, A. C. Lazer
  • problem, J. Austral. Math. Soc. Ser. B
  • 1986
1 Excerpt

Exchange of equilibria in two species Lotka-Volterra competition

  • K. Gopalsamy
  • models, J. Austral. Math. Soc. Ser. B
  • 1982
1 Excerpt

Similar Papers

Loading similar papers…