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http://hdl.handle.net/10773/40013
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Pinto, Jorge | pt_PT |
dc.contributor.author | Vaz, Sandra | pt_PT |
dc.contributor.author | Torres, Delfim F. M. | pt_PT |
dc.date.accessioned | 2024-01-09T11:59:36Z | - |
dc.date.issued | 2023 | - |
dc.identifier.isbn | 978-3-031-42688-9 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/40013 | - |
dc.description.abstract | We consider a modified Lotka–Volterra model applied to the predator-prey system that can also be applied to other areas, for instance, the bank system. We show that the model is well-posed (nonnegativity of solutions and conservation law) and study the local stability using different methods. Firstly, we consider the continuous model, after which the numerical schemes of Euler and Mickens are investigated. Finally, the model is described using Caputo fractional derivatives. For the fractional model, besides well-posedness and local stability, we prove the existence and uniqueness of solution. Throughout the work, we compare the results graphically and present our conclusions. To represent graphically the solutions of the fractional model, we use the modified trapezoidal method that involves the modified Euler method. | pt_PT |
dc.description.sponsorship | The authors were partially supported by the Portuguese Foundation for Science and Technology (FCT): Vaz through the Center of Mathematics and Applications of Universidade da Beira Interior (CMA-UBI), project UIDB/00212/2020; Torres through the Center for Research and Development in Mathematics and Applications (CIDMA), grants UIDB/04106/2020 and UIDP/04106/2020, and within the project “Mathematical Modelling of Multi-scale Control Systems: Applications to Human Diseases” (CoSysM3), reference 2022.03091.PTDC, financially supported by national funds (OE) through FCT/MCTES. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Springer | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/2022.03091.PTDC/PT | pt_PT |
dc.rights | embargoedAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Lotka–Volterra model | pt_PT |
dc.subject | Nonnegativity of solutions | pt_PT |
dc.subject | Stability | pt_PT |
dc.subject | Mickens’ discretization | pt_PT |
dc.subject | Fractional calculus | pt_PT |
dc.title | A Lotka–Volterra-Type Model Analyzed Through Different Techniques | pt_PT |
dc.type | bookPart | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 129 | pt_PT |
degois.publication.lastPage | 157 | pt_PT |
degois.publication.location | Cham | pt_PT |
degois.publication.title | Computational and Mathematical Models in Biology. Nonlinear Systems and Complexity | pt_PT |
degois.publication.volume | 38 | - |
dc.date.embargo | 2025-12-31 | - |
dc.relation.publisherversion | http://dx.doi.org/10.1007/978-3-031-42689-6_6 | pt_PT |
dc.identifier.doi | 10.1007/978-3-031-42689-6_6 | pt_PT |
dc.identifier.esbn | 978-3-031-42689-6 | pt_PT |
Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[539]Pinto_Vaz_Torres.pdf | 710.84 kB | Adobe PDF |
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