LEADER 05094nam 22006855 450 001 9910300243603321 005 20200630120755.0 010 $a981-287-852-1 024 7 $a10.1007/978-981-287-852-6 035 $a(CKB)3710000000533074 035 $a(EBL)4188248 035 $a(SSID)ssj0001597332 035 $a(PQKBManifestationID)16297258 035 $a(PQKBTitleCode)TC0001597332 035 $a(PQKBWorkID)14885688 035 $a(PQKB)11257146 035 $a(DE-He213)978-981-287-852-6 035 $a(MiAaPQ)EBC4188248 035 $a(PPN)190884355 035 $a(EXLCZ)993710000000533074 100 $a20151208d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Models for Therapeutic Approaches to Control HIV Disease Transmission /$fby Priti Kumar Roy 205 $a1st ed. 2015. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2015. 215 $a1 online resource (228 p.) 225 1 $aIndustrial and Applied Mathematics,$x2364-6837 300 $aDescription based upon print version of record. 311 $a981-287-851-3 320 $aIncludes bibliographical references at the end of each chapters. 327 $aChapter 1. Introduction -- Part I: Dynamics of Immune System against HIV -- Chapter 2. Role of CTL in Restricting Virus -- Chapter 3. T Cell Proliferation -- Chapter 4. Feedback Effect towards HIV Infection -- Part II: Control based Therapeutic Approach -- Chapter 5. Insight of Delay Dynamics -- Chapter 6. Optimal Control Theory -- Chapter 7. Perfect Drug Adherence -- Chapter 8. Mathematical Model in Stochastic Approach. 330 $aThe book discusses different therapeutic approaches based on different mathematical models to control the HIV/AIDS disease transmission. It uses clinical data, collected from different cited sources, to formulate the deterministic as well as stochastic mathematical models of HIV/AIDS. It provides complementary approaches, from deterministic and stochastic points of view, to optimal control strategy with perfect drug adherence and also tries to seek viewpoints of the same issue from different angles with various mathematical models to computer simulations. The book presents essential methods and techniques for students who are interested in designing epidemiological models on HIV/AIDS. It also guides research scientists, working in the periphery of mathematical modeling, and helps them to explore a hypothetical method by examining its consequences in the form of a mathematical modelling and making some scientific predictions. The model equations, mathematical analysis and several numerical simulations that are presented in the book would serve to reveal the consequences of the logical structure of the disease transmission, quantitatively as well as qualitatively. One of the chapters introduces the optimal control approach towards the mathematical models, describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Another one chapter deals with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. The last chapter of the book consists the stochastic approach to the disease dynamics on HIV/AIDS. This method helps to move the disease HIV/AIDS to extinction as the time to increase. This book will appeal to undergraduate and postgraduate students, as well as researchers, who are studying and working in the field of bio-mathematical modelling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health, etc. Social workers, who are working in the field of HIV, will also find the book useful for complements. 410 0$aIndustrial and Applied Mathematics,$x2364-6837 606 $aBiomathematics 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aBiomathematics. 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aMathematical and Computational Biology. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aApplications of Mathematics. 676 $a616.979205 700 $aRoy$b Priti Kumar$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755743 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300243603321 996 $aMathematical models for therapeutic approaches to control HIV disease transmission$91522928 997 $aUNINA