Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts
We consider a linear system based on a population dynamics model dependent on age, space and nonlocal boundary conditions. Note that our population dynamics model is a four-step model with a second derivative with respect to the age variable and a second derivative with respect to the space variable...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/8421625 |
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| _version_ | 1846168409667010560 |
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| author | Ramdé Nestor Traoré Amidou Simporé Yacouba Nakoulima Ousseynou |
| author_facet | Ramdé Nestor Traoré Amidou Simporé Yacouba Nakoulima Ousseynou |
| author_sort | Ramdé Nestor |
| collection | DOAJ |
| description | We consider a linear system based on a population dynamics model dependent on age, space and nonlocal boundary conditions. Note that our population dynamics model is a four-step model with a second derivative with respect to the age variable and a second derivative with respect to the space variable. Population growth at each stage depends on time and space. We prove the uniqueness and existence of a positive solution by combining the Galerkin’s variational method and the Banach’s fixed point theorem. |
| format | Article |
| id | doaj-art-7f0076cca68a49ba88d2c28e19f1ca53 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7f0076cca68a49ba88d2c28e19f1ca532024-11-14T00:00:03ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/8421625Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert LocustsRamdé Nestor0Traoré Amidou1Simporé Yacouba2Nakoulima Ousseynou3Laboratoire Analyse NumériqueLaboratoire de Mathématiques et d’Informatique (LA.M.I), UFR, Sciences Exactes et AppliquéesLaboratoire Analyse NumériqueLaboratoire MAINEGE, UFR, Sciences et TechniqueWe consider a linear system based on a population dynamics model dependent on age, space and nonlocal boundary conditions. Note that our population dynamics model is a four-step model with a second derivative with respect to the age variable and a second derivative with respect to the space variable. Population growth at each stage depends on time and space. We prove the uniqueness and existence of a positive solution by combining the Galerkin’s variational method and the Banach’s fixed point theorem.http://dx.doi.org/10.1155/2024/8421625 |
| spellingShingle | Ramdé Nestor Traoré Amidou Simporé Yacouba Nakoulima Ousseynou Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts International Journal of Mathematics and Mathematical Sciences |
| title | Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts |
| title_full | Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts |
| title_fullStr | Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts |
| title_full_unstemmed | Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts |
| title_short | Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts |
| title_sort | existence and uniqueness of a solution for a four stage age structured population dynamics model with spatial diffusion for desert locusts |
| url | http://dx.doi.org/10.1155/2024/8421625 |
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