Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagr...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/705601 |
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| _version_ | 1832551414748938240 |
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| author | Junhong Li Ning Cui |
| author_facet | Junhong Li Ning Cui |
| author_sort | Junhong Li |
| collection | DOAJ |
| description | The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors. |
| format | Article |
| id | doaj-art-a4d5b8c48328470d8468d3d72204b72c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a4d5b8c48328470d8468d3d72204b72c2025-02-03T06:01:31ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/705601705601Bifurcation and Chaotic Behavior of a Discrete-Time SIS ModelJunhong Li0Ning Cui1Department of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou, Hebei 075000, ChinaDepartment of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou, Hebei 075000, ChinaThe discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors.http://dx.doi.org/10.1155/2013/705601 |
| spellingShingle | Junhong Li Ning Cui Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model Discrete Dynamics in Nature and Society |
| title | Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model |
| title_full | Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model |
| title_fullStr | Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model |
| title_full_unstemmed | Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model |
| title_short | Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model |
| title_sort | bifurcation and chaotic behavior of a discrete time sis model |
| url | http://dx.doi.org/10.1155/2013/705601 |
| work_keys_str_mv | AT junhongli bifurcationandchaoticbehaviorofadiscretetimesismodel AT ningcui bifurcationandchaoticbehaviorofadiscretetimesismodel |