On oscillation of a food-limited population model with time delay
For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. Coefficient r(t) and delays are not assumed to be continuous....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503209040 |
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| _version_ | 1832552340072169472 |
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| author | Leonid Berezansky Elena Braverman |
| author_facet | Leonid Berezansky Elena Braverman |
| author_sort | Leonid Berezansky |
| collection | DOAJ |
| description | For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. Coefficient r(t) and delays are not assumed to be continuous. |
| format | Article |
| id | doaj-art-10b3e322f8524a0298d773312d9957e8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-10b3e322f8524a0298d773312d9957e82025-02-03T05:58:51ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-0120031556610.1155/S1085337503209040On oscillation of a food-limited population model with time delayLeonid Berezansky0Elena Braverman1Department of Mathematics, Ben-Gurion University of The Negev, Beer-Sheva 84105, IsraelDepartment of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, T2N 1N4, CanadaFor a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. Coefficient r(t) and delays are not assumed to be continuous.http://dx.doi.org/10.1155/S1085337503209040 |
| spellingShingle | Leonid Berezansky Elena Braverman On oscillation of a food-limited population model with time delay Abstract and Applied Analysis |
| title | On oscillation of a food-limited population model with time delay |
| title_full | On oscillation of a food-limited population model with time delay |
| title_fullStr | On oscillation of a food-limited population model with time delay |
| title_full_unstemmed | On oscillation of a food-limited population model with time delay |
| title_short | On oscillation of a food-limited population model with time delay |
| title_sort | on oscillation of a food limited population model with time delay |
| url | http://dx.doi.org/10.1155/S1085337503209040 |
| work_keys_str_mv | AT leonidberezansky onoscillationofafoodlimitedpopulationmodelwithtimedelay AT elenabraverman onoscillationofafoodlimitedpopulationmodelwithtimedelay |