LEADER 04912nam 2200697 450 001 9910807969303321 005 20200520144314.0 010 $a1-118-76281-9 010 $a1-118-76278-9 010 $a1-118-76280-0 035 $a(CKB)2550000001175433 035 $a(EBL)1583675 035 $a(SSID)ssj0001166499 035 $a(PQKBManifestationID)11657048 035 $a(PQKBTitleCode)TC0001166499 035 $a(PQKBWorkID)11118505 035 $a(PQKB)11455318 035 $a(OCoLC)868925574 035 $a(MiAaPQ)EBC1583675 035 $a(Au-PeEL)EBL1583675 035 $a(CaPaEBR)ebr10822341 035 $a(CaONFJC)MIL556719 035 $a(OCoLC)866840236 035 $a(PPN)191455490 035 $a(EXLCZ)992550000001175433 100 $a20130814d2014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPropagation dynamics on complex networks $emodels, methods and stability analysis /$fXinchu Fu, Michael Small, Guanrong Chen 210 1$aChichester, West Sussex :$cWiley,$d2014. 215 $a1 online resource (330 p.) 300 $aDescription based upon print version of record. 311 $a1-118-53450-6 311 $a1-306-25468-X 320 $aIncludes bibliographical references and index. 327 $aCover; Title Page; Copyright; Contents; Preface; Summary; Chapter 1 Introduction; 1.1 Motivation and background; 1.2 A brief history of mathematical epidemiology; 1.2.1 Compartmental modeling; 1.2.2 Epidemic modeling on complex networks; 1.3 Organization of the book; References; Chapter 2 Various epidemic models on complex networks; 2.1 Multiple stage models; 2.1.1 Multiple susceptible individuals; 2.1.2 Multiple infected individuals; 2.1.3 Multiple-staged infected individuals; 2.2 Staged progression models; 2.2.1 Simple-staged progression model 327 $a2.2.2 Staged progression model on homogenous networks2.2.3 Staged progression model on heterogenous networks; 2.2.4 Staged progression model with birth and death; 2.2.5 Staged progression model with birth and death on homogenous networks; 2.2.6 Staged progression model with birth and death on heterogenous networks; 2.3 Stochastic SIS model; 2.3.1 A general concept: Epidemic spreading efficiency; 2.4 Models with population mobility; 2.4.1 Epidemic spreading without mobility of individuals; 2.4.2 Spreading of epidemic diseases among different cities 327 $a2.4.3 Epidemic spreading within and between cities2.5 Models in meta-populations; 2.5.1 Model formulation; 2.6 Models with effective contacts; 2.6.1 Epidemics with effectively uniform contact; 2.6.2 Epidemics with effective contact in homogenous and heterogenous networks; 2.7 Models with two distinct routes; 2.8 Models with competing strains; 2.8.1 SIS model with competing strains; 2.8.2 Remarks and discussions; 2.9 Models with competing strains and saturated infectivity; 2.9.1 SIS model with mutation mechanism; 2.9.2 SIS model with super-infection mechanism 327 $a2.10 Models with birth and death of nodes and links2.11 Models on weighted networks; 2.11.1 Model with birth and death and adaptive weights; 2.12 Models on directed networks; 2.13 Models on colored networks; 2.13.1 SIS epidemic models on colored networks; 2.13.2 Microscopic Markov-chain analysis; 2.14 Discrete epidemic models; 2.14.1 Discrete SIS model with nonlinear contagion scheme; 2.14.2 Discrete-time epidemic model in heterogenous networks; 2.14.3 A generalized model; References; Chapter 3 Epidemic threshold analysis; 3.1 Threshold analysis by the direct method 327 $a3.3.4 Threshold analysis for SIS model with super-infection 330 $a Explores the emerging subject of epidemic dynamics on complex networks, including theories, methods, and real-world applications Throughout history epidemic diseases have presented a serious threat to human life, and in recent years the spread of infectious diseases such as dengue, malaria, HIV, and SARS has captured global attention; and in the modern technological age, the proliferation of virus attacks on the Internet highlights the emergent need for knowledge about modeling, analysis, and control in epidemic dynamics on complex networks. For advancement of techniques 606 $aEpidemiology$xMathematical models 606 $aEpidemiology$xMethodology 606 $aBiomathematics 615 0$aEpidemiology$xMathematical models. 615 0$aEpidemiology$xMethodology. 615 0$aBiomathematics. 676 $a614.401/5118 700 $aFu$b Xinchu$01687312 701 $aSmall$b Michael$c(Professor)$0628521 701 $aChen$b G$g(Guanrong)$0903401 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910807969303321 996 $aPropagation dynamics on complex networks$94082693 997 $aUNINA