001447632 000__ 04036cam\a2200529Ii\4500
001447632 001__ 1447632
001447632 003__ OCoLC
001447632 005__ 20230310004127.0
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001447632 020__ $$a9783030981365$$q(electronic bk.)
001447632 020__ $$a3030981363$$q(electronic bk.)
001447632 020__ $$z9783030981358$$q(print)
001447632 0247_ $$a10.1007/978-3-030-98136-5$$2doi
001447632 035__ $$aSP(OCoLC)1331446953
001447632 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001447632 049__ $$aISEA
001447632 050_4 $$aHB849.51
001447632 08204 $$a304.60151$$223/eng/20220621
001447632 1001_ $$aDucrot, Arnaud,$$eauthor.
001447632 24510 $$aDifferential equations and population dynamics.$$nI,$$pIntroductory approaches /$$cArnaud Ducrot, Quentin Griette, Zhihua Liu, Pierre Magal.
001447632 24630 $$aIntroductory approaches
001447632 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001447632 300__ $$a1 online resource (xx, 458 pages).
001447632 336__ $$atext$$btxt$$2rdacontent
001447632 337__ $$acomputer$$bc$$2rdamedia
001447632 338__ $$aonline resource$$bcr$$2rdacarrier
001447632 4901_ $$aLecture notes on mathematical modelling in the life sciences,$$x2193-4797
001447632 5050_ $$aPart I Linear Differential and Difference Equations: 1 Introduction to Linear Population Dynamics -- 2 Existence and Uniqueness of Solutions -- 3 Stability and Instability of Linear Systems -- 4 Positivity and Perron-Frobenius Theorem -- Part II NonLinear Differential: 5 Nonlinear Differential Equation -- 6 The Linearized Stability Principle and the Hartman-Grobman Theorem -- 7 Positivity and Invariant Sub-Regions -- 8 Monotone Semiflows -- Part III Applications to Epidemic Models: 9 Understanding and Predicting Unreported Cases in the 2019-nCov Epidemic Outbreak in Wuhan, China, and the Importance of Major Public Health Interventions -- 10 The COVID-19 Outbreak in Japan: Unreported Age-Dependent Cases -- 11 Clarifying Predictions for COVID-19 from Testing Data: The Example of New York State -- 12 SI Epidemic Model Applied to COVID-19 Data in Mainland China -- 13 A Robust Phenomenological Approach to Investigating COVID-19 Data for France -- 14 What Can We Learn From COVID-19 Data By Using Epidemic Models With Unidentified Infectious Cases? -- 15 Supplementary material.
001447632 506__ $$aAccess limited to authorized users.
001447632 520__ $$aThis book provides an introduction to the theory of ordinary differential equations and its applications to population dynamics. Part I focuses on linear systems. Beginning with some modeling background, it considers existence, uniqueness, stability of solution, positivity, and the Perron-Frobenius theorem and its consequences. Part II is devoted to nonlinear systems, with material on the semiflow property, positivity, the existence of invariant sub-regions, the Linearized Stability Principle, the Hartman-Grobman Theorem, and monotone semiflow. Part III opens up new perspectives for the understanding of infectious diseases by applying the theoretical results to COVID-19, combining data and epidemic models. Throughout the book the material is illustrated by numerical examples and their MATLAB codes are provided. Bridging an interdisciplinary gap, the book will be valuable to graduate and advanced undergraduate students studying mathematics and population dynamics.
001447632 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 21, 2022).
001447632 650_0 $$aPopulation$$xMathematical models.
001447632 650_0 $$aCommunicable diseases$$xMathematical models.
001447632 650_0 $$aDifferential equations.
001447632 655_0 $$aElectronic books.
001447632 7001_ $$aGriette, Quentin,$$eauthor.
001447632 7001_ $$aLiu, Zhihua,$$eauthor.
001447632 7001_ $$aMagal, Pierre,$$eauthor.
001447632 830_0 $$aLecture notes on mathematical modelling in the life sciences,$$x2193-4797
001447632 852__ $$bebk
001447632 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-98136-5$$zOnline Access$$91397441.1
001447632 909CO $$ooai:library.usi.edu:1447632$$pGLOBAL_SET
001447632 980__ $$aBIB
001447632 980__ $$aEBOOK
001447632 982__ $$aEbook
001447632 983__ $$aOnline
001447632 994__ $$a92$$bISE