Bifurcation and chaos in a discrete physiological control system
Author
Abstract
Suggested Citation
DOI: 10.1016/j.amc.2014.11.107
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Ramani, A. & Carstea, A.S. & Willox, R. & Grammaticos, B., 2004. "Oscillating epidemics: a discrete-time model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 278-292.
- Kari Alitalo & Tuomas Tammela & Tatiana V. Petrova, 2005. "Lymphangiogenesis in development and human disease," Nature, Nature, vol. 438(7070), pages 946-953, December.
- Wang, Zhigang & Zhang, Haifeng & Wang, Zhen, 2014. "Multiple effects of self-protection on the spreading of epidemics," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 1-7.
- Willox, R. & Grammaticos, B. & Carstea, A.S. & Ramani, A., 2003. "Epidemic dynamics: discrete-time and cellular automaton models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(1), pages 13-22.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Manivannan, R. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Stability analysis of interval time-varying delayed neural networks including neutral time-delay and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 433-445.
- Wen, Haijun & Hou, Shiwang & Liu, Zhaohua & Liu, Yongjiang, 2017. "An optimization algorithm for integrated remanufacturing production planning and scheduling system," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 69-76.
- Wang, Caiyun & Qi, Suying, 2018. "Spatial dynamics of a predator-prey system with cross diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 55-60.
- Jiang, Xiaowei & Chen, Xiangyong & Chi, Ming & Chen, Jie, 2020. "On Hopf bifurcation and control for a delay systems," Applied Mathematics and Computation, Elsevier, vol. 370(C).
- Shufen Niu & Ling Niu & Xiyan Yang & Caifen Wang & Xiangdong Jia, 2017. "Heterogeneous hybrid signcryption for multi-message and multi-receiver," PLOS ONE, Public Library of Science, vol. 12(9), pages 1-13, September.
- Lahmiri, Salim, 2018. "Minute-ahead stock price forecasting based on singular spectrum analysis and support vector regression," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 444-451.
- Wu, Zeyan & Li, Jianjuan & Liu, Shuying & Zhou, Liuting & Luo, Yang, 2019. "A spatial predator–prey system with non-renewable resources," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 381-391.
- Qiao, Jian-Qin & Li, Li, 2017. "Analysis of competitive infectious diseases with multiple strains," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 215-221.
- Xie, Duosi & Zhang, Shouxu & Xie, Jianquan, 2018. "Distributed dynamic state estimation with flocking mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1195-1206.
- Li, Li, 2017. "Transmission dynamics of Ebola virus disease with human mobility in Sierra Leone," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 575-579.
- Petrosyan, Leon & Sedakov, Artem & Sun, Hao & Xu, Genjiu, 2017. "Convergence of strong time-consistent payment schemes in dynamic games," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 96-112.
- Zhang, Zhimin & Han, Xiao, 2017. "The compound Poisson risk model under a mixed dividend strategy," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 1-12.
- Marat Akhmet & Kağan Başkan & Cihan Yeşil, 2023. "Revealing Chaos Synchronization Below the Threshold in Coupled Mackey–Glass Systems," Mathematics, MDPI, vol. 11(14), pages 1-15, July.
- Zhang, Xue-feng & Yang, Feng-bao & Wang, Xu-zhu, 2017. "A theorem for calculation of the appropriate sample size in an estimation," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 291-297.
- Kaveh, Hojjat & Salarieh, Hassan, 2020. "A new approach to extreme event prediction and mitigation via Markov-model-based chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
- Wei Yang, 2021. "Modeling COVID-19 Pandemic with Hierarchical Quarantine and Time Delay," Dynamic Games and Applications, Springer, vol. 11(4), pages 892-914, December.
- Zhang, Hong-Tao & Li, Li, 2018. "Traveling wave fronts of a single species model with cannibalism and nonlocal effect," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 148-153.
- Wu, Liuyi & Dong, Lijun & Wang, Yi & Zhang, Feng & Lee, Victor E. & Kang, Xiaojun & Liang, Qingzhong, 2018. "Uniform-scale assessment of role minimization in bipartite networks and its application to access control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 381-397.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Hu, Zengyun & Teng, Zhidong & Zhang, Tailei & Zhou, Qiming & Chen, Xi, 2017. "Globally asymptotically stable analysis in a discrete time eco-epidemiological system," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 20-31.
- Jalil Rashidinia & Mehri Sajjadian & Jorge Duarte & Cristina Januário & Nuno Martins, 2018. "On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy," Complexity, Hindawi, vol. 2018, pages 1-11, December.
- Zhang, Yaming & Su, Yanyuan & Weigang, Li & Liu, Haiou, 2019. "Interacting model of rumor propagation and behavior spreading in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 168-177.
- Ramani, A. & Carstea, A.S. & Willox, R. & Grammaticos, B., 2004. "Oscillating epidemics: a discrete-time model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 278-292.
- Juang, Jonq & Liang, Yu-Hao, 2024. "Epidemic models in well-mixed multiplex networks with distributed time delay," Applied Mathematics and Computation, Elsevier, vol. 474(C).
- Quantong Guo & Yanjun Lei & Chengyi Xia & Lu Guo & Xin Jiang & Zhiming Zheng, 2016. "The Role of Node Heterogeneity in the Coupled Spreading of Epidemics and Awareness," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-19, August.
- Shahid, Farah & Zameer, Aneela & Muneeb, Muhammad, 2020. "Predictions for COVID-19 with deep learning models of LSTM, GRU and Bi-LSTM," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
- Monteiro, L.H.A. & Sasso, J.B. & Chaui Berlinck, J.G., 2007. "Continuous and discrete approaches to the epidemiology of viral spreading in populations taking into account the delay of incubation time," Ecological Modelling, Elsevier, vol. 201(3), pages 553-557.
- A. Zamora & M. Nougué & L. Verdu & E. Balzan & T. Draia-Nicolau & E. Benuzzi & F. Pujol & V. Baillif & E. Lacazette & F. Morfoisse & J. Galitzky & A. Bouloumié & M. Dubourdeau & B. Chaput & N. Fazille, 2024. "15-Lipoxygenase promotes resolution of inflammation in lymphedema by controlling Treg cell function through IFN-β," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
- Lee, Sang Dong & Park, Sohyun & Park, Young-Seuk & Chung, Yeong-Jin & Lee, Buom-Young & Chon, Tae-Soo, 2007. "Range expansion of forest pest populations by using the lattice model," Ecological Modelling, Elsevier, vol. 203(1), pages 157-166.
- Lu Tang & Yiwang Zhou & Lili Wang & Soumik Purkayastha & Leyao Zhang & Jie He & Fei Wang & Peter X.‐K. Song, 2020. "A Review of Multi‐Compartment Infectious Disease Models," International Statistical Review, International Statistical Institute, vol. 88(2), pages 462-513, August.
- Soriano-Sánchez, A.G. & Posadas-Castillo, C., 2018. "Smart pattern to generate small–world networks," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 415-422.
- Nieves Montenegro-Navarro & Claudia García-Báez & Melissa García-Caballero, 2023. "Molecular and metabolic orchestration of the lymphatic vasculature in physiology and pathology," Nature Communications, Nature, vol. 14(1), pages 1-18, December.
- Wang, Zhen & Li, Chaofan & Jin, Xing & Ding, Hong & Cui, Guanghai & Yu, Lanping, 2021. "Evolutionary dynamics of the interdependent security games on complex network," Applied Mathematics and Computation, Elsevier, vol. 399(C).
- Yuanyuan Ma & Lingxuan Li, 2018. "Crisis Spreading Model of the Shareholding Networks of Listed Companies and Their Main Holders and Their Controllability," Complexity, Hindawi, vol. 2018, pages 1-17, December.
- Ding, Hong & Xu, Jia-Hao & Wang, Zhen & Ren, Yi-Zhi & Cui, Guang-Hai, 2018. "Subsidy strategy based on history information can stimulate voluntary vaccination behaviors on seasonal diseases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 390-399.
- Wu, Jie & Wang, Xiuling & Chen, Jinjin & Shu, Gang & Li, Ya, 2015. "The position of a door can significantly impact on pedestrians’ evacuation time in an emergency," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 29-35.
More about this item
Keywords
Physiological system; Discrete model; Chaos;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:252:y:2015:i:c:p:397-404. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.