Observer design for phenotypic observation of genetic processes
In the paper a single-locus sexual population is considered, where the phenotypic selection process is described by an evolutionary game. First, in order to recover the genetic process from different observations, observability is guaranteed by the linearization method developed in earlier papers of...
| Prif Awduron: | , , |
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| Fformat: | info:eu-repo/semantics/article |
| Iaith: | English |
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2017
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| Mynediad Ar-lein: | http://hdl.handle.net/10835/4906 https://doi.org/10.1016/j.nonrwa.2006.10.004 |
| _version_ | 1789406346962010112 |
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| author | López, Inmaculada Gámez Cámara, Manuel Angel Varga, Zoltán |
| author_facet | López, Inmaculada Gámez Cámara, Manuel Angel Varga, Zoltán |
| author_sort | López, Inmaculada |
| collection | DSpace |
| description | In the paper a single-locus sexual population is considered, where the phenotypic selection process is described by an evolutionary game. First, in order to recover the genetic process from different observations, observability is guaranteed by the linearization method developed in earlier papers of the authors for systems with invariant manifold. Then, based on a known result of nonlinear systems theory, an observer system is constructed that makes it possible to asymptotically recover the solution
of the original system from the observation. In the numerical illustrations the selection is described by a "rock-scissors-paper" type game widely studied in evolutionary game theory. For the corresponding evolutionary dynamics a Hopf bifurcation result is also obtained. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-4906 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-49062023-04-12T19:36:42Z Observer design for phenotypic observation of genetic processes López, Inmaculada Gámez Cámara, Manuel Angel Varga, Zoltán Sexual population Evolutionary game Hopf bifurcation Observer system In the paper a single-locus sexual population is considered, where the phenotypic selection process is described by an evolutionary game. First, in order to recover the genetic process from different observations, observability is guaranteed by the linearization method developed in earlier papers of the authors for systems with invariant manifold. Then, based on a known result of nonlinear systems theory, an observer system is constructed that makes it possible to asymptotically recover the solution of the original system from the observation. In the numerical illustrations the selection is described by a "rock-scissors-paper" type game widely studied in evolutionary game theory. For the corresponding evolutionary dynamics a Hopf bifurcation result is also obtained. 2017-07-12T08:29:01Z 2017-07-12T08:29:01Z 2008 info:eu-repo/semantics/article http://hdl.handle.net/10835/4906 https://doi.org/10.1016/j.nonrwa.2006.10.004 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Sexual population Evolutionary game Hopf bifurcation Observer system López, Inmaculada Gámez Cámara, Manuel Angel Varga, Zoltán Observer design for phenotypic observation of genetic processes |
| title | Observer design for phenotypic observation of genetic processes |
| title_full | Observer design for phenotypic observation of genetic processes |
| title_fullStr | Observer design for phenotypic observation of genetic processes |
| title_full_unstemmed | Observer design for phenotypic observation of genetic processes |
| title_short | Observer design for phenotypic observation of genetic processes |
| title_sort | observer design for phenotypic observation of genetic processes |
| topic | Sexual population Evolutionary game Hopf bifurcation Observer system |
| url | http://hdl.handle.net/10835/4906 https://doi.org/10.1016/j.nonrwa.2006.10.004 |
| work_keys_str_mv | AT lopezinmaculada observerdesignforphenotypicobservationofgeneticprocesses AT gamezcamaramanuelangel observerdesignforphenotypicobservationofgeneticprocesses AT vargazoltan observerdesignforphenotypicobservationofgeneticprocesses |