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学者姓名：黄寿颖
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Abstract ：
It is well known that the feedback mechanism or the individual's intuitive response to the epidemic can have a vital effect on the disease's spreading. In this paper, we investigate the bifurcation behavior and the optimal feedback mechanism for an SIS epidemic model on heterogeneous networks. Firstly, we present the bifurcation analysis when the basic reproduction number is equal to unity. The direction of bifurcation is also determined. Secondly, different from the constant coefficient in the existing literature, we incorporate a time-varying feedback mechanism coefficient. This is more reasonable since the initiative response of people is constantly changing during different process of disease prevalence. We analyze the optimal feedback mechanism for the SIS epidemic network model by applying the optimal control theory. The existence and uniqueness of the optimal control strategy are obtained. Finally, a numerical example is presented to verify the efficiency of the obtained results. How the topology of the network affects the optimal feedback mechanism is also discussed.
Keyword ：
Bifurcation Bifurcation Complex networks Complex networks Epidemic dynamics Epidemic dynamics Feedback mechanism Feedback mechanism Optimal control Optimal control
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| GB/T 7714 | Chen, Lijuan , Huang, Shouying , Chen, Fengde et al. The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks [J]. | ADVANCES IN DIFFERENCE EQUATIONS , 2019 , 2019 (1) . |
| MLA | Chen, Lijuan et al. "The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks" . | ADVANCES IN DIFFERENCE EQUATIONS 2019 . 1 (2019) . |
| APA | Chen, Lijuan , Huang, Shouying , Chen, Fengde , Fu, Mingjian . The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks . | ADVANCES IN DIFFERENCE EQUATIONS , 2019 , 2019 (1) . |
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Abstract ：
This paper aims to investigate the effects of human behavior and contact heterogeneity on the spread of infectious diseases. For this purpose, a network-based SIRS epidemic model with a general feedback mechanism is proposed. In contrast to previous models, we consider the different fear degrees of individuals who have different potential number of contacts with others, when an epidemic prevails. The basic reproductive number that governs the global dynamics of the model is analytically derived. Accordingly, the permanence of the disease and stability conditions of the equilibria are studied in detail. It is shown that the general feedback mechanism cannot change the basic reproductive number, but theoretical and numerical results indicate that it plays an active role in reducing the disease damage. The obtained results generalize and improve some well-known ones.
Keyword ：
Complex networks Complex networks Epidemic dynamics Epidemic dynamics Feedback mechanism Feedback mechanism The basic reproductive number The basic reproductive number
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| GB/T 7714 | Huang, Shouying , Chen, Fengde , Zhang, Yanhong . Global analysis of epidemic spreading with a general feedback mechanism on complex networks [J]. | ADVANCES IN DIFFERENCE EQUATIONS , 2019 . |
| MLA | Huang, Shouying et al. "Global analysis of epidemic spreading with a general feedback mechanism on complex networks" . | ADVANCES IN DIFFERENCE EQUATIONS (2019) . |
| APA | Huang, Shouying , Chen, Fengde , Zhang, Yanhong . Global analysis of epidemic spreading with a general feedback mechanism on complex networks . | ADVANCES IN DIFFERENCE EQUATIONS , 2019 . |
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Reward has been proved to be an effective mechanism to sustain cooperation among selfish individuals. In this paper, we propose a history loyalty-based reward in which a cooperator can gain additional reward if the time he sticks to the cooperation strategy is over a loyalty threshold. Accordingly, defectors have to bear the cost of reward subsequently. The results on the spatial public goods game show that the cooperation could be immensely enhanced when the loyalty threshold and the reward factor are suitable. Besides, the time evolution of cooperator density and the spatial distribution of cooperators and defectors are investigated. Our work extends the form of reward in the evolution of spatial public goods game. (C) 2019 Published by Elsevier B.V.
Keyword ：
Cooperation Cooperation Loyalty Loyalty Reward Reward Spatial public goods game Spatial public goods game
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| GB/T 7714 | Fu, Mingjian , Guo, Wenzhong , Cheng, Linlin et al. History loyalty-based reward promotes cooperation in the spatial public goods game [J]. | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2019 , 525 : 1323-1329 . |
| MLA | Fu, Mingjian et al. "History loyalty-based reward promotes cooperation in the spatial public goods game" . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 525 (2019) : 1323-1329 . |
| APA | Fu, Mingjian , Guo, Wenzhong , Cheng, Linlin , Huang, Shouying , Chen, Dewang . History loyalty-based reward promotes cooperation in the spatial public goods game . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2019 , 525 , 1323-1329 . |
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For understanding the influence of user security awareness on the long-term spreading behavior of malware over mobile networks, in this paper, we intensively study the global dynamics of a novel network-based epidemic model with weakly-protected and strongly-protected susceptible nodes. Both analytical and numerical results show that the global dynamics of the model is completely governed by a threshold value. Specifically, we prove that when the value is lower than one, the malware-free equilibrium is globally asymptotically stable and mobile malware will disappear. When the value is greater than one, mobile malware will persist on the network, and in the meantime there exists a unique malware equilibrium which is globally asymptotically stable under certain conditions. The obtained results improve and enrich some known ones. Interestingly, increasing the recovery rate of infected nodes can result in the increase of strongly-protected susceptible nodes and the decrease of the threshold value. The study has valuable guiding significance in effectively controlling mobile malware spread. (C) 2018 Elsevier B.V. All rights reserved.
Keyword ：
Complex networks Complex networks Epidemic model Epidemic model Malware propagation Malware propagation Threshold dynamics Threshold dynamics
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| GB/T 7714 | Huang, Shouying . Global dynamics of a network-based WSIS model for mobile malware propagation over complex networks [J]. | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2018 , 503 : 293-303 . |
| MLA | Huang, Shouying . "Global dynamics of a network-based WSIS model for mobile malware propagation over complex networks" . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 503 (2018) : 293-303 . |
| APA | Huang, Shouying . Global dynamics of a network-based WSIS model for mobile malware propagation over complex networks . | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS , 2018 , 503 , 293-303 . |
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This paper mainly aims to study the influence of individuals' different heterogeneous contact patterns on the spread of the disease. For this purpose, an SIS epidemic model with a general form of heterogeneous infection rate is investigated on complex heterogeneous networks. A qualitative analysis of this model reveals that, depending on the epidemic threshold R-0, either the disease-free equilibrium or the endemic equilibrium is globally asymptotically stable. Interestingly, no matter what functional form the heterogeneous infection rate is, whether the disease will disappear or not is completely determined by the value of R-0, but the heterogeneous infection rate has close relation with the epidemic threshold R-0. Especially, the heterogeneous infection rate can directly affect the final number of infected nodes when the disease is endemic. The obtained results improve and generalize some known results. Finally, based on the heterogeneity of contact patterns, the effects of different immunization schemes are discussed and compared. Meanwhile, we explore the relation between the immunization rate and the recovery rate, which are the two important parameters that can be improved. To illustrate our theoretical results, the corresponding numerical simulations are also included.
Keyword ：
epidemic spreading epidemic spreading global stability global stability Heterogeneous network Heterogeneous network immunization strategy immunization strategy infection rate infection rate
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| GB/T 7714 | Huang, Shouying , Jiang, Jifa . EPIDEMIC DYNAMICS ON COMPLEX NETWORKS WITH GENERAL INFECTION RATE AND IMMUNE STRATEGIES [J]. | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B , 2018 , 23 (6) : 2071-2090 . |
| MLA | Huang, Shouying et al. "EPIDEMIC DYNAMICS ON COMPLEX NETWORKS WITH GENERAL INFECTION RATE AND IMMUNE STRATEGIES" . | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 23 . 6 (2018) : 2071-2090 . |
| APA | Huang, Shouying , Jiang, Jifa . EPIDEMIC DYNAMICS ON COMPLEX NETWORKS WITH GENERAL INFECTION RATE AND IMMUNE STRATEGIES . | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B , 2018 , 23 (6) , 2071-2090 . |
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This paper investigates a new SIQRS epidemic model with demographics and vaccination on complex heterogeneous networks. We analytically derive the basic reproduction number R-0, which determines not only the existence of endemic equilibrium but also the global dynamics of the model. The permanence of the disease and the globally asymptotical stability of disease-free equilibrium are proved in detail. By using a monotone iterative technique, we show that the unique endemic equilibrium is globally attractive under certain conditions. Our results really improve and enrich the results in Li et al (2014) [14]. Interestingly, the basic reproduction number R-0 bears no relation to the degree-dependent birth, but our simulations indicate that the degree-dependent birth does affect the epidemic dynamics. Furthermore, we find that quarantine plays a more active role than vaccination in controlling the disease. (C) 2016 Elsevier B.V. All rights reserved.
Keyword ：
Epidemic spreading Epidemic spreading Global dynamics Global dynamics Heterogeneous network Heterogeneous network SIQRS model SIQRS model
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| GB/T 7714 | Huang, Shouying , Chen, Fengde , Chen, Lijuan . Global dynamics of a network-based SIQRS epidemic model with demographics and vaccination [J]. | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2017 , 43 : 296-310 . |
| MLA | Huang, Shouying et al. "Global dynamics of a network-based SIQRS epidemic model with demographics and vaccination" . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 43 (2017) : 296-310 . |
| APA | Huang, Shouying , Chen, Fengde , Chen, Lijuan . Global dynamics of a network-based SIQRS epidemic model with demographics and vaccination . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2017 , 43 , 296-310 . |
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A syrphid fly-aphid model with stage structure for predator population is considered, in which only the immature predator-natural enemy syrphid fly can prey on pest-aphid. By applying Lyapunov functions and LaSalles invariance principle, we show that the global asymptotic stability of the interior equilibrium for the considered model. We also obtain results on the existence and stability of periodic solutions. Numerical simulations are also performed to illustrate the validity of our results. © 2017 Journal of Nonlinear Functional Analysis.
Keyword ：
Asymptotic stability Asymptotic stability Lyapunov functions Lyapunov functions
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| GB/T 7714 | Chen, Liujuan , Chen, Xiaoxing , Huang, Shouying . Global dynamics of a syrphid fly-aphid model with stage structure for predator population [J]. | Journal of Nonlinear Functional Analysis , 2017 , 2017 . |
| MLA | Chen, Liujuan et al. "Global dynamics of a syrphid fly-aphid model with stage structure for predator population" . | Journal of Nonlinear Functional Analysis 2017 (2017) . |
| APA | Chen, Liujuan , Chen, Xiaoxing , Huang, Shouying . Global dynamics of a syrphid fly-aphid model with stage structure for predator population . | Journal of Nonlinear Functional Analysis , 2017 , 2017 . |
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In this paper, we develop and analyze an SIS epidemic model with a general nonlinear incidence rate, as well as degree-dependent birth and natural death, on heterogeneous networks. We analytically derive the epidemic threshold R-o which completely governs the disease dynamics: when R-o < 1, the disease-free equilibrium is globally asymptotically stable, i.e., the disease will die out; when R-o > 1, the disease is permanent. It is interesting that the threshold value R-o bears no relation to the functional form of the nonlinear incidence rate and degree-dependent birth. Furthermore, by applying an iteration scheme and the theory of cooperative system respectively, we obtain sufficient conditions under which the endemic equilibrium is globally asymptotically stable. Our results improve and generalize some known results. To illustrate the theoretical results, the corresponding numerical simulations are also given.
Keyword ：
epidemic spreading epidemic spreading equilibrium equilibrium global stability global stability Heterogeneous network Heterogeneous network nonlinear incidence nonlinear incidence
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| GB/T 7714 | Huang, Shouying , Jiang, Jifa . GLOBAL STABILITY OF A NETWORK-BASED SIS EPIDEMIC MODEL WITH A GENERAL NONLINEAR INCIDENCE RATE [J]. | MATHEMATICAL BIOSCIENCES AND ENGINEERING , 2016 , 13 (4) : 723-739 . |
| MLA | Huang, Shouying et al. "GLOBAL STABILITY OF A NETWORK-BASED SIS EPIDEMIC MODEL WITH A GENERAL NONLINEAR INCIDENCE RATE" . | MATHEMATICAL BIOSCIENCES AND ENGINEERING 13 . 4 (2016) : 723-739 . |
| APA | Huang, Shouying , Jiang, Jifa . GLOBAL STABILITY OF A NETWORK-BASED SIS EPIDEMIC MODEL WITH A GENERAL NONLINEAR INCIDENCE RATE . | MATHEMATICAL BIOSCIENCES AND ENGINEERING , 2016 , 13 (4) , 723-739 . |
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In this paper, we study the spreading of infections on complex heterogeneous networks based on an SEIRS epidemic model with nonlinear infectivity. By mathematical analysis, the basic reproduction number R-0 is obtained. When R-0 is less than one, the disease-free equilibrium is globally asymptotically stable and the disease dies out, while R-0 is greater than one, the disease-free equilibrium becomes unstable and the disease is permanent, and in the meantime there exists a unique endemic equilibrium which is globally attractive under certain conditions. Finally, the effects of various immunization schemes are studied. To verify our theoretical results, the corresponding numerical simulations are also included.
Keyword ：
complex network complex network Epidemic dynamics Epidemic dynamics immunization immunization nonlinear infectivity nonlinear infectivity
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| GB/T 7714 | Huang, Shouying . Dynamic analysis of an SEIRS model with nonlinear infectivity on complex networks [J]. | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2016 , 9 (1) . |
| MLA | Huang, Shouying . "Dynamic analysis of an SEIRS model with nonlinear infectivity on complex networks" . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS 9 . 1 (2016) . |
| APA | Huang, Shouying . Dynamic analysis of an SEIRS model with nonlinear infectivity on complex networks . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2016 , 9 (1) . |
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A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006) 684-690]. Numeric simulations are carried out to show the feasibility of our results.
Keyword ：
Competition Competition Extinction Extinction Functional response Functional response Phytoplankton system Phytoplankton system
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| GB/T 7714 | Chen, Fengde , Chen, Xiaoxing , Huang, Shouying . Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances [J]. | OPEN MATHEMATICS , 2016 , 14 : 1157-1173 . |
| MLA | Chen, Fengde et al. "Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances" . | OPEN MATHEMATICS 14 (2016) : 1157-1173 . |
| APA | Chen, Fengde , Chen, Xiaoxing , Huang, Shouying . Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances . | OPEN MATHEMATICS , 2016 , 14 , 1157-1173 . |
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