Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate
This paper mainly addresses the issue of how to effectively inhibit viral spread by means of dynamic countermeasure. To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established. On this basis, an optimal control problem capturing the dynamic countermea...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/2836865 |
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| _version_ | 1832553016637521920 |
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| author | Xulong Zhang Chenquan Gan |
| author_facet | Xulong Zhang Chenquan Gan |
| author_sort | Xulong Zhang |
| collection | DOAJ |
| description | This paper mainly addresses the issue of how to effectively inhibit viral spread by means of dynamic countermeasure. To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established. On this basis, an optimal control problem capturing the dynamic countermeasure is proposed and analyzed. Specifically, the existence of an optimal dynamic countermeasure scheme and the corresponding optimality system are shown theoretically. Finally, some numerical examples are given to illustrate the main results, from which it is found that (1) the proposed optimal strategy can achieve a low level of infections at a low cost and (2) adjusting nonlinear infection and countermeasure rates and tradeoff factor can be conductive to the containment of virus propagation with less cost. |
| format | Article |
| id | doaj-art-db8a554b72a241ea9363d90ab54b9468 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-db8a554b72a241ea9363d90ab54b94682025-02-03T05:57:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/28368652836865Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection RateXulong Zhang0Chenquan Gan1College of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaThis paper mainly addresses the issue of how to effectively inhibit viral spread by means of dynamic countermeasure. To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established. On this basis, an optimal control problem capturing the dynamic countermeasure is proposed and analyzed. Specifically, the existence of an optimal dynamic countermeasure scheme and the corresponding optimality system are shown theoretically. Finally, some numerical examples are given to illustrate the main results, from which it is found that (1) the proposed optimal strategy can achieve a low level of infections at a low cost and (2) adjusting nonlinear infection and countermeasure rates and tradeoff factor can be conductive to the containment of virus propagation with less cost.http://dx.doi.org/10.1155/2017/2836865 |
| spellingShingle | Xulong Zhang Chenquan Gan Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate Discrete Dynamics in Nature and Society |
| title | Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate |
| title_full | Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate |
| title_fullStr | Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate |
| title_full_unstemmed | Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate |
| title_short | Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate |
| title_sort | optimal and nonlinear dynamic countermeasure under a node level model with nonlinear infection rate |
| url | http://dx.doi.org/10.1155/2017/2836865 |
| work_keys_str_mv | AT xulongzhang optimalandnonlineardynamiccountermeasureunderanodelevelmodelwithnonlinearinfectionrate AT chenquangan optimalandnonlineardynamiccountermeasureunderanodelevelmodelwithnonlinearinfectionrate |