Theoretical and semi-analytical simulation for a two-predator-one-prey model during the mating period
The article introduces a new application which is a system of equations of two predators and one prey with the term of interaction between male and female of predators and prey. Such term appears when male and female of predators feed on the same prey during their mating period. The mathematical mod...
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| Veröffentlicht in: | PloS one 2023-08, Vol.18 (8), p.e0289410-e0289410 |
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| description | The article introduces a new application which is a system of equations of two predators and one prey with the term of interaction between male and female of predators and prey. Such term appears when male and female of predators feed on the same prey during their mating period. The mathematical model has been studied theoretically and semi-analytically. The positivity, boundedness, local and global stability are proved for the system. The logarithm of multistage differential transform method (MsDTM) is used to study this new application. The MsDTM is used because it globally converges to the solution, it is a highly accurate, fast and simple approach. The stability analysis as well as semi-analytical solutions of the system are obtained to understand the dynamic of the model. Moreover, the effects of several parameters in the system are presented. As a results, we obtain the periodic solution when when the growth rate of prey is larger than the growth rate of both type of predators. |
| doi_str_mv | 10.1371/journal.pone.0289410 |
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Such term appears when male and female of predators feed on the same prey during their mating period. The mathematical model has been studied theoretically and semi-analytically. The positivity, boundedness, local and global stability are proved for the system. The logarithm of multistage differential transform method (MsDTM) is used to study this new application. The MsDTM is used because it globally converges to the solution, it is a highly accurate, fast and simple approach. The stability analysis as well as semi-analytical solutions of the system are obtained to understand the dynamic of the model. Moreover, the effects of several parameters in the system are presented. As a results, we obtain the periodic solution when when the growth rate of prey is larger than the growth rate of both type of predators.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0289410</identifier><identifier>PMID: 37556454</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Animals ; Biology and Life Sciences ; Cell Communication ; Computer and Information Sciences ; Computer Simulation ; Courtship of animals ; Ecology and Environmental Sciences ; Ecosystem ; Equilibrium ; Evaluation ; Exact solutions ; Female ; Females ; Growth rate ; Male ; Males ; Mathematical models ; Mating ; Models, Biological ; Models, Theoretical ; Ordinary differential equations ; Physical Sciences ; Population Dynamics ; Predator-prey simulation ; Predators ; Predatory Behavior ; Prey ; Research and Analysis Methods ; Stability analysis</subject><ispartof>PloS one, 2023-08, Vol.18 (8), p.e0289410-e0289410</ispartof><rights>Copyright: © 2023 Noufe H. Aljahdaly. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</rights><rights>COPYRIGHT 2023 Public Library of Science</rights><rights>2023 Noufe H. Aljahdaly. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2023 Noufe H. Aljahdaly 2023 Noufe H. Aljahdaly</rights><rights>2023 Noufe H. Aljahdaly. 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Such term appears when male and female of predators feed on the same prey during their mating period. The mathematical model has been studied theoretically and semi-analytically. The positivity, boundedness, local and global stability are proved for the system. The logarithm of multistage differential transform method (MsDTM) is used to study this new application. The MsDTM is used because it globally converges to the solution, it is a highly accurate, fast and simple approach. The stability analysis as well as semi-analytical solutions of the system are obtained to understand the dynamic of the model. Moreover, the effects of several parameters in the system are presented. 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Such term appears when male and female of predators feed on the same prey during their mating period. The mathematical model has been studied theoretically and semi-analytically. The positivity, boundedness, local and global stability are proved for the system. The logarithm of multistage differential transform method (MsDTM) is used to study this new application. The MsDTM is used because it globally converges to the solution, it is a highly accurate, fast and simple approach. The stability analysis as well as semi-analytical solutions of the system are obtained to understand the dynamic of the model. Moreover, the effects of several parameters in the system are presented. 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| subjects | Animals Biology and Life Sciences Cell Communication Computer and Information Sciences Computer Simulation Courtship of animals Ecology and Environmental Sciences Ecosystem Equilibrium Evaluation Exact solutions Female Females Growth rate Male Males Mathematical models Mating Models, Biological Models, Theoretical Ordinary differential equations Physical Sciences Population Dynamics Predator-prey simulation Predators Predatory Behavior Prey Research and Analysis Methods Stability analysis |
| title | Theoretical and semi-analytical simulation for a two-predator-one-prey model during the mating period |
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