On a Predator-Prey Model Involving Age and Spatial Structure
In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/5656953 |
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| _version_ | 1832554748867248128 |
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| author | Okana S. Sougué Oumar Traoré |
| author_facet | Okana S. Sougué Oumar Traoré |
| author_sort | Okana S. Sougué |
| collection | DOAJ |
| description | In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results of existence concerning the spatial homogeneous problem and the stationary system are discussed. At last, numerical simulations are performed by using finite difference method to validate the results. |
| format | Article |
| id | doaj-art-1e530b4c2e094623b81d1a318eaca490 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1e530b4c2e094623b81d1a318eaca4902025-02-03T05:50:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/5656953On a Predator-Prey Model Involving Age and Spatial StructureOkana S. Sougué0Oumar Traoré1Laboratoire LAMILaboratoire LAMIIn this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results of existence concerning the spatial homogeneous problem and the stationary system are discussed. At last, numerical simulations are performed by using finite difference method to validate the results.http://dx.doi.org/10.1155/2022/5656953 |
| spellingShingle | Okana S. Sougué Oumar Traoré On a Predator-Prey Model Involving Age and Spatial Structure International Journal of Mathematics and Mathematical Sciences |
| title | On a Predator-Prey Model Involving Age and Spatial Structure |
| title_full | On a Predator-Prey Model Involving Age and Spatial Structure |
| title_fullStr | On a Predator-Prey Model Involving Age and Spatial Structure |
| title_full_unstemmed | On a Predator-Prey Model Involving Age and Spatial Structure |
| title_short | On a Predator-Prey Model Involving Age and Spatial Structure |
| title_sort | on a predator prey model involving age and spatial structure |
| url | http://dx.doi.org/10.1155/2022/5656953 |
| work_keys_str_mv | AT okanassougue onapredatorpreymodelinvolvingageandspatialstructure AT oumartraore onapredatorpreymodelinvolvingageandspatialstructure |