LEADER 02686nam 2200493z- 450 001 9910367745803321 005 20231214133004.0 010 $a3-03921-727-5 035 $a(CKB)4100000010106259 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/41085 035 $a(EXLCZ)994100000010106259 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplied Analysis of Ordinary Differential Equations 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 electronic resource (62 p.) 311 $a3-03921-726-7 330 $aOne might say that ordinary differential equations (notably, in Isaac Newton?s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models?for example, when considering the evolution of a probability density function?and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications. 610 $aheteroclinic tangle 610 $acoupled system 610 $aintegral boundary conditions 610 $aEADs 610 $atransport 610 $abifurcation analysis 610 $aSIR epidemic model 610 $aion current interactions 610 $agreen's function 610 $asurface of section 610 $aendemic equilibrium 610 $aage structure 610 $aMATCONT 610 $aUlam's stability 610 $anonlinear dynamics 610 $astability 610 $abasic reproduction number 700 $aBalasuriya$b Sanjeeva$4auth$01304420 906 $aBOOK 912 $a9910367745803321 996 $aApplied Analysis of Ordinary Differential Equations$93027387 997 $aUNINA