Dynamical analysis of a fractional SIRS model on homogenous networks
Abstract In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 $E_{0}$ is locally and globally asymptotically stable for R0<1 $R_{0}<1$ (the disease always disappears), and endemic equilibrium point E1 $E_{1}$ is uniquely locally and...
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SpringerOpen
2019-04-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2079-3 |
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doaj-f217dafbaf654f90a54c47a1e152b5112020-11-25T03:01:00ZengSpringerOpenAdvances in Difference Equations1687-18472019-04-012019111510.1186/s13662-019-2079-3Dynamical analysis of a fractional SIRS model on homogenous networksH. A. A. El-Saka0A. A. M. Arafa1M. I. Gouda2Mathematics Department, Faculty of Science, Damietta UniversityMathematics & Computer science Department, Faculty of Science, Port Said UniversityMathematics & Computer science Department, Faculty of Science, Port Said UniversityAbstract In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 $E_{0}$ is locally and globally asymptotically stable for R0<1 $R_{0}<1$ (the disease always disappears), and endemic equilibrium point E1 $E_{1}$ is uniquely locally and globally asymptotically stable, but E0 $E_{0}$ is unstable for R0>1 $R_{0}>1\ $ (the disease is uniformly persistent). The main results are demonstrated by numerical simulation.http://link.springer.com/article/10.1186/s13662-019-2079-3Fractional order SIRS modelHomogenous networkLocal stabilityGlobal stabilityNumerical solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
H. A. A. El-Saka A. A. M. Arafa M. I. Gouda |
| spellingShingle |
H. A. A. El-Saka A. A. M. Arafa M. I. Gouda Dynamical analysis of a fractional SIRS model on homogenous networks Advances in Difference Equations Fractional order SIRS model Homogenous network Local stability Global stability Numerical solutions |
| author_facet |
H. A. A. El-Saka A. A. M. Arafa M. I. Gouda |
| author_sort |
H. A. A. El-Saka |
| title |
Dynamical analysis of a fractional SIRS model on homogenous networks |
| title_short |
Dynamical analysis of a fractional SIRS model on homogenous networks |
| title_full |
Dynamical analysis of a fractional SIRS model on homogenous networks |
| title_fullStr |
Dynamical analysis of a fractional SIRS model on homogenous networks |
| title_full_unstemmed |
Dynamical analysis of a fractional SIRS model on homogenous networks |
| title_sort |
dynamical analysis of a fractional sirs model on homogenous networks |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2019-04-01 |
| description |
Abstract In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 $E_{0}$ is locally and globally asymptotically stable for R0<1 $R_{0}<1$ (the disease always disappears), and endemic equilibrium point E1 $E_{1}$ is uniquely locally and globally asymptotically stable, but E0 $E_{0}$ is unstable for R0>1 $R_{0}>1\ $ (the disease is uniformly persistent). The main results are demonstrated by numerical simulation. |
| topic |
Fractional order SIRS model Homogenous network Local stability Global stability Numerical solutions |
| url |
http://link.springer.com/article/10.1186/s13662-019-2079-3 |
| work_keys_str_mv |
AT haaelsaka dynamicalanalysisofafractionalsirsmodelonhomogenousnetworks AT aamarafa dynamicalanalysisofafractionalsirsmodelonhomogenousnetworks AT migouda dynamicalanalysisofafractionalsirsmodelonhomogenousnetworks |
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1724695467915214848 |