Global Asymptotic Stability for Discrete Single Species Population Models
We present some basic discrete models in populations dynamics of single species with several age classes. Starting with the basic Beverton-Holt model that describes the change of single species we discuss its basic properties such as a convergence of all solutions to the equilibrium, oscillation of...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/5963594 |
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| _version_ | 1832549299910606848 |
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| author | A. Bilgin M. R. S. Kulenović |
| author_facet | A. Bilgin M. R. S. Kulenović |
| author_sort | A. Bilgin |
| collection | DOAJ |
| description | We present some basic discrete models in populations dynamics of single species with several age classes. Starting with the basic Beverton-Holt model that describes the change of single species we discuss its basic properties such as a convergence of all solutions to the equilibrium, oscillation of solutions about the equilibrium solutions, Allee’s effect, and Jillson’s effect. We consider the effect of the constant and periodic immigration and emigration on the global properties of Beverton-Holt model. We also consider the effect of the periodic environment on the global properties of Beverton-Holt model. |
| format | Article |
| id | doaj-art-423c460e7f4147c683e0dca6c16885d5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-423c460e7f4147c683e0dca6c16885d52025-02-03T06:11:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/59635945963594Global Asymptotic Stability for Discrete Single Species Population ModelsA. Bilgin0M. R. S. Kulenović1Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USADepartment of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USAWe present some basic discrete models in populations dynamics of single species with several age classes. Starting with the basic Beverton-Holt model that describes the change of single species we discuss its basic properties such as a convergence of all solutions to the equilibrium, oscillation of solutions about the equilibrium solutions, Allee’s effect, and Jillson’s effect. We consider the effect of the constant and periodic immigration and emigration on the global properties of Beverton-Holt model. We also consider the effect of the periodic environment on the global properties of Beverton-Holt model.http://dx.doi.org/10.1155/2017/5963594 |
| spellingShingle | A. Bilgin M. R. S. Kulenović Global Asymptotic Stability for Discrete Single Species Population Models Discrete Dynamics in Nature and Society |
| title | Global Asymptotic Stability for Discrete Single Species Population Models |
| title_full | Global Asymptotic Stability for Discrete Single Species Population Models |
| title_fullStr | Global Asymptotic Stability for Discrete Single Species Population Models |
| title_full_unstemmed | Global Asymptotic Stability for Discrete Single Species Population Models |
| title_short | Global Asymptotic Stability for Discrete Single Species Population Models |
| title_sort | global asymptotic stability for discrete single species population models |
| url | http://dx.doi.org/10.1155/2017/5963594 |
| work_keys_str_mv | AT abilgin globalasymptoticstabilityfordiscretesinglespeciespopulationmodels AT mrskulenovic globalasymptoticstabilityfordiscretesinglespeciespopulationmodels |