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Extinction of species in nonautonomous Lotka-Volterra systems |
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| Authors: | Shair Ahmad |
| Affiliation: | Division of Mathematics and Statistics, The University of Texas at San Antonio, San Antonio, Texas 78249 |
| Abstract: | A nonautonomous  th 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  components tend to zero, while the first one will stabilize at a certain solution of a logistic equation. |
| Keywords: | Positive component system extinction exponentially |
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