Random matrix difference models arising in long-term medical drug strategies
This paper deals with the construction of random discrete solutions of coupled linear difference equations, incorporating uncertainty into both the initial condition and the source term. First, sufficient conditions in order to guarantee mean square stability of the solution are provided, then the m...
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| Veröffentlicht in: | Applied mathematics and computation 2010-11, Vol.217 (5), p.2149-2161 |
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| creator | Calbo, G. Cortés, J.-C. Jódar, L. |
| description | This paper deals with the construction of random discrete solutions of coupled linear difference equations, incorporating uncertainty into both the initial condition and the source term. First, sufficient conditions in order to guarantee mean square stability of the solution are provided, then the main statistical functions, such as mean and covariance of the discrete solution stochastic process, are given. Finally, illustrative examples of potential interest in long-time medical drug strategies are shown. |
| doi_str_mv | 10.1016/j.amc.2010.07.014 |
| format | Article |
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First, sufficient conditions in order to guarantee mean square stability of the solution are provided, then the main statistical functions, such as mean and covariance of the discrete solution stochastic process, are given. Finally, illustrative examples of potential interest in long-time medical drug strategies are shown.</description><identifier>ISSN: 0096-3003</identifier><identifier>EISSN: 1873-5649</identifier><identifier>DOI: 10.1016/j.amc.2010.07.014</identifier><identifier>CODEN: AMHCBQ</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>Algebra ; Compartmental random models ; Difference and functional equations, recurrence relations ; Drugs ; Exact sciences and technology ; Finite differences and functional equations ; Initial conditions ; Linear and multilinear algebra, matrix theory ; Mathematical analysis ; Mathematical models ; Mathematics ; Mean square stability ; Mean square values ; Medical ; Numerical analysis ; Numerical analysis. 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Scientific computation</subject><subject>Sciences and techniques of general use</subject><subject>Stochastic processes</subject><subject>Strategy</subject><subject>Vector random difference equation</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK7-AG-5iKfWmU2bNngS8QsWBNFzCMmkZOnHmnRF_70tu3j0NAw87zvMw9glQo6A8maTm87mK5h2qHLA4ogtsK5EVspCHbMFgJKZABCn7CylDQBUEosFW7-Z3g0d78wYwzd3wXuK1Fvi3eCoTdzEkELf8NDzduibbKQ40eSCNS13cdfwNEYzUhMonbMTb9pEF4e5ZB-PD-_3z9n69enl_m6dWVGqMfOSpKgrYxGx9GiUtJZQGYXSldKrglbCKaqlVUYCoEGllK88lOhrKVAs2fW-dxuHzx2lUXchWWpb09OwS7ouVFGBgJnEPWnjkFIkr7cxdCb-aAQ9i9MbPYnTszgNlZ7ETZmrQ7tJ05M-mt6G9BdciVqUlRATd7vnJk30FSjqZMOszoVIdtRuCP9c-QVgDIJ6</recordid><startdate>20101101</startdate><enddate>20101101</enddate><creator>Calbo, G.</creator><creator>Cortés, J.-C.</creator><creator>Jódar, L.</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20101101</creationdate><title>Random matrix difference models arising in long-term medical drug strategies</title><author>Calbo, G. ; Cortés, J.-C. ; Jódar, L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-f6e6387ac1115f1a96cce19a916d56f94e23d9e86c9a6001a1999f7f051f86313</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Algebra</topic><topic>Compartmental random models</topic><topic>Difference and functional equations, recurrence relations</topic><topic>Drugs</topic><topic>Exact sciences and technology</topic><topic>Finite differences and functional equations</topic><topic>Initial conditions</topic><topic>Linear and multilinear algebra, matrix theory</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mean square stability</topic><topic>Mean square values</topic><topic>Medical</topic><topic>Numerical analysis</topic><topic>Numerical analysis. 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| ispartof | Applied mathematics and computation, 2010-11, Vol.217 (5), p.2149-2161 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Algebra Compartmental random models Difference and functional equations, recurrence relations Drugs Exact sciences and technology Finite differences and functional equations Initial conditions Linear and multilinear algebra, matrix theory Mathematical analysis Mathematical models Mathematics Mean square stability Mean square values Medical Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Stochastic processes Strategy Vector random difference equation |
| title | Random matrix difference models arising in long-term medical drug strategies |
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