Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate
In this paper, we consider a two-patch model coupled by migration terms, where each patch follows a generalized logistic law. In the first consideration, we assume that the two patches are sources and in the second, we assume that one patch is source and the second is sink. Two complete classificati...
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Oles Honchar Dnipro National University
2024-07-01
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| Series: | Journal of Optimization, Differential Equations and Their Applications |
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| Online Access: | https://model-dnu.dp.ua/index.php/SM/article/view/199 |
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| author | Bilel Elbetch |
| author_facet | Bilel Elbetch |
| author_sort | Bilel Elbetch |
| collection | DOAJ |
| description | In this paper, we consider a two-patch model coupled by migration terms, where each patch follows a generalized logistic law. In the first consideration, we assume that the two patches are sources and in the second, we assume that one patch is source and the second is sink. Two complete classifications for two models (source-source and source-sink) are given: one concerning when dispersal asymmetry causes smaller or larger total biomass than no dispersal, and the other addressing how the total biomass changes with dispersal asymmetry. For two models, we find that the total biomass is either strictly decreasing or initially strictly increasing then strictly decreasing with respect to dispersal asymmetry. Populations are persist in both patches for source-source case and going to extinction in both patches for source-sink case. |
| format | Article |
| id | doaj-art-5df5b802f13a49e9a7f5ca9f2bb964c3 |
| institution | Kabale University |
| issn | 2617-0108 2663-6824 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Journal of Optimization, Differential Equations and Their Applications |
| spelling | doaj-art-5df5b802f13a49e9a7f5ca9f2bb964c32024-12-06T09:13:59ZengOles Honchar Dnipro National UniversityJournal of Optimization, Differential Equations and Their Applications2617-01082663-68242024-07-01322164010.15421/142407191Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth RateBilel Elbetch0Department of Mathematics, University of Sciences and Technology Houari BoumedieneIn this paper, we consider a two-patch model coupled by migration terms, where each patch follows a generalized logistic law. In the first consideration, we assume that the two patches are sources and in the second, we assume that one patch is source and the second is sink. Two complete classifications for two models (source-source and source-sink) are given: one concerning when dispersal asymmetry causes smaller or larger total biomass than no dispersal, and the other addressing how the total biomass changes with dispersal asymmetry. For two models, we find that the total biomass is either strictly decreasing or initially strictly increasing then strictly decreasing with respect to dispersal asymmetry. Populations are persist in both patches for source-source case and going to extinction in both patches for source-sink case.https://model-dnu.dp.ua/index.php/SM/article/view/199population dynamicsgeneralized growthtotal population abundancedispersal asymmetrytotal biomasssource-sink model |
| spellingShingle | Bilel Elbetch Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate Journal of Optimization, Differential Equations and Their Applications population dynamics generalized growth total population abundance dispersal asymmetry total biomass source-sink model |
| title | Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate |
| title_full | Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate |
| title_fullStr | Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate |
| title_full_unstemmed | Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate |
| title_short | Influence of Dispersal Asymmetry on Total Biomass in Two-Patch Environment with Generalized Growth Rate |
| title_sort | influence of dispersal asymmetry on total biomass in two patch environment with generalized growth rate |
| topic | population dynamics generalized growth total population abundance dispersal asymmetry total biomass source-sink model |
| url | https://model-dnu.dp.ua/index.php/SM/article/view/199 |
| work_keys_str_mv | AT bilelelbetch influenceofdispersalasymmetryontotalbiomassintwopatchenvironmentwithgeneralizedgrowthrate |