On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting
An N-dimensional generalization of Nicholson’s equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furth...
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| Published in | Nonlinear analysis: real world applications Vol. 67; p. 103609 |
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| Format | Journal Article |
| Language | English |
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01.10.2022
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| Abstract | An N-dimensional generalization of Nicholson’s equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furthermore, under extra suitable hypotheses we prove the existence of T-periodic solutions and, reversing the prior conditions in a convenient manner, we show that the zero is a global attractor. |
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| AbstractList | An N-dimensional generalization of Nicholson’s equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furthermore, under extra suitable hypotheses we prove the existence of T-periodic solutions and, reversing the prior conditions in a convenient manner, we show that the zero is a global attractor. |
| ArticleNumber | 103609 |
| Author | Amster, Pablo Bondorevsky, Melanie |
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| Cites_doi | 10.1016/j.jde.2017.02.042 10.14232/ejqtde.2012.1.73 10.1007/s12591-016-0285-y 10.1016/j.cam.2007.10.049 10.1016/0025-5564(87)90101-5 10.1071/ZO9540009 10.3390/math9030263 10.1016/j.apm.2009.08.027 10.1016/j.aml.2012.02.040 10.1016/j.jde.2016.06.019 10.1016/j.nonrwa.2010.12.009 10.1038/287017a0 10.1007/s10884-017-9572-8 |
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| Keywords | Guiding functions Uniform persistence Nicholson’s equation Delay differential equations Periodic solutions Topological degree |
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| SubjectTerms | Delay differential equations Guiding functions Nicholson’s equation Periodic solutions Topological degree Uniform persistence |
| Title | On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting |
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