A Dynamically Consistent Nonstandard Difference Scheme for a Discrete-Time Immunogenic Tumors Model
dc.contributor.author | Khan, Muhammad Salman | |
dc.contributor.author | Samreen, María | |
dc.contributor.author | Khan, Muhammad Asif | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2022-08-08T07:27:57Z | |
dc.date.available | 2022-08-08T07:27:57Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Entropy 24(7) : (2022) // Article ID 949 | es_ES |
dc.identifier.issn | 1099-4300 | |
dc.identifier.uri | http://hdl.handle.net/10810/57237 | |
dc.description.abstract | This manuscript deals with the qualitative study of certain properties of an immunogenic tumors model. Mainly, we obtain a dynamically consistent discrete-time immunogenic tumors model using a nonstandard difference scheme. The existence of fixed points and their stability are discussed. It is shown that a continuous system experiences Hopf bifurcation at one and only one positive fixed point, whereas its discrete-time counterpart experiences Neimark–Sacker bifurcation at one and only one positive fixed point. It is shown that there is no chance of period-doubling bifurcation in our discrete-time system. Additionally, numerical simulations are carried out in support of our theoretical discussion. | es_ES |
dc.description.sponsorship | Spanish Government and European Commission, Grant RTI2018-094336-B-I00 (MCIU/AEI/FEDER, UE); Basque Government, Grant IT1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICIU/RTI2018-094336-B-I00 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | immunogenic tumors model | es_ES |
dc.subject | nonstandard difference scheme | es_ES |
dc.subject | Andronov–Hopf bifurcation | es_ES |
dc.subject | boundedness | es_ES |
dc.subject | existence | es_ES |
dc.subject | linearized stability | es_ES |
dc.subject | Neimark–Sacker bifurcation | es_ES |
dc.subject | control of bifurcation | es_ES |
dc.subject | numerical simulations | es_ES |
dc.title | A Dynamically Consistent Nonstandard Difference Scheme for a Discrete-Time Immunogenic Tumors Model | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2022-07-25T16:33:00Z | |
dc.rights.holder | © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/1099-4300/24/7/949 | es_ES |
dc.identifier.doi | 10.3390/e24070949 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).