Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique
In this paper, a mathematical model for the system of prey-predator with immigrant prey has been analyzed to find an approximate solution for immigrant prey population density, local prey population density, and predator population density. Furthermore, we present a novel soft computing technique na...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/1241761 |
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| _version_ | 1832549700039868416 |
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| author | Naveed Ahmad Khan Muhammad Sulaiman Jamel Seidu Fahad Sameer Alshammari |
| author_facet | Naveed Ahmad Khan Muhammad Sulaiman Jamel Seidu Fahad Sameer Alshammari |
| author_sort | Naveed Ahmad Khan |
| collection | DOAJ |
| description | In this paper, a mathematical model for the system of prey-predator with immigrant prey has been analyzed to find an approximate solution for immigrant prey population density, local prey population density, and predator population density. Furthermore, we present a novel soft computing technique named LeNN-WOA-NM algorithm for solving the mathematical model of the prey-predator system with immigrant prey. The proposed algorithm uses a function approximating ability of Legendre polynomials based on Legendre neural networks (LeNNs), global search ability of the whale optimization algorithm (WOA), and a local search mechanism of the Nelder–Mead algorithm. The LeNN-WOA-NM algorithm is applied to study the effect of variations on the growth rate, the force of interaction, and the catching rate of local prey and immigrant prey. The statistical data obtained by the proposed technique establish the effectiveness of the proposed algorithm when compared with techniques in the latest literature. The efficiency of solutions obtained by LeNN-WOA-NM is validated through performance measures including absolute errors, MAD, TIC, and ENSE. |
| format | Article |
| id | doaj-art-1198932475b0429dbf4046a2c11e7474 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1198932475b0429dbf4046a2c11e74742025-02-03T06:08:42ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/1241761Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing TechniqueNaveed Ahmad Khan0Muhammad Sulaiman1Jamel Seidu2Fahad Sameer Alshammari3Department of MathematicsDepartment of MathematicsSchool of Railways and Infrastructure DevelopmentDepartment of MathematicsIn this paper, a mathematical model for the system of prey-predator with immigrant prey has been analyzed to find an approximate solution for immigrant prey population density, local prey population density, and predator population density. Furthermore, we present a novel soft computing technique named LeNN-WOA-NM algorithm for solving the mathematical model of the prey-predator system with immigrant prey. The proposed algorithm uses a function approximating ability of Legendre polynomials based on Legendre neural networks (LeNNs), global search ability of the whale optimization algorithm (WOA), and a local search mechanism of the Nelder–Mead algorithm. The LeNN-WOA-NM algorithm is applied to study the effect of variations on the growth rate, the force of interaction, and the catching rate of local prey and immigrant prey. The statistical data obtained by the proposed technique establish the effectiveness of the proposed algorithm when compared with techniques in the latest literature. The efficiency of solutions obtained by LeNN-WOA-NM is validated through performance measures including absolute errors, MAD, TIC, and ENSE.http://dx.doi.org/10.1155/2022/1241761 |
| spellingShingle | Naveed Ahmad Khan Muhammad Sulaiman Jamel Seidu Fahad Sameer Alshammari Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique Discrete Dynamics in Nature and Society |
| title | Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique |
| title_full | Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique |
| title_fullStr | Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique |
| title_full_unstemmed | Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique |
| title_short | Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique |
| title_sort | mathematical analysis of the prey predator system with immigrant prey using the soft computing technique |
| url | http://dx.doi.org/10.1155/2022/1241761 |
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