001438515 000__ 05493cam\a2200625\i\4500 001438515 001__ 1438515 001438515 003__ OCoLC 001438515 005__ 20230309004309.0 001438515 006__ m\\\\\o\\d\\\\\\\\ 001438515 007__ cr\un\nnnunnun 001438515 008__ 210730s2021\\\\sz\a\\\\o\\\\\101\0\eng\d 001438515 019__ $$a1262371782 001438515 020__ $$a9783030732417$$q(electronic bk.) 001438515 020__ $$a303073241X$$q(electronic bk.) 001438515 020__ $$z9783030732400 001438515 020__ $$z3030732401 001438515 0247_ $$a10.1007/978-3-030-73241-7$$2doi 001438515 035__ $$aSP(OCoLC)1262189769 001438515 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dOCL$$dUKAHL$$dOCLCQ$$dCOM$$dN$T$$dOCLCO$$dSFB$$dOCLCQ 001438515 049__ $$aISEA 001438515 050_4 $$aQH323.5$$b.I58 2020 001438515 08204 $$a570.1/5195$$223 001438515 1112_ $$aInternational Symposium on Mathematical and Computational Biology$$n(20th :$$d2020 :$$cOnline) 001438515 24510 $$aTrends in biomathematics :$$bchaos and control in epidemics, ecosystems, and cells : selected works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020. 001438515 264_1 $$aCham :$$bSpringer,$$c[2021] 001438515 264_4 $$c©2021 001438515 300__ $$a1 online resource :$$billustrations (chiefly color) 001438515 336__ $$atext$$btxt$$2rdacontent 001438515 337__ $$acomputer$$bc$$2rdamedia 001438515 338__ $$aonline resource$$bcr$$2rdacarrier 001438515 500__ $$aInternational conference proceedings. 001438515 500__ $$aIncludes index. 001438515 5050_ $$aIntro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Mathematical Modeling of Macroalgae-Borne Pathogen Transmission in Corals -- 1 Introduction -- 2 The Basic Model -- 3 Equilibria and Their Stability -- 4 Discussion -- References -- Oscillatory Behavior of a Delayed Ratio-Dependent Predator-Prey System with Michaelis-Menten Functional Response -- 1 Introduction -- 2 The System with Delay -- 2.1 Exponential Fading Memory -- 2.2 Memory with a Hump -- 3 The Case of One Prey and Two Predators -- 4 Stability of the Bifurcating Periodic Solution -- References 001438515 5058_ $$aGeometry of Fitness Surfaces and Dynamics of Replicator Systems -- 1 Introduction: Extremum Principles in Evolution -- 2 Fitness Landscapes of Replicator Systems -- 2.1 Game-Theoretical Approach and Evolutionary Stable Strategies -- 2.2 Lotka-Volterra System -- References -- In-Host Dynamics of the Human Papillomavirus (HPV) in the Presence of Immune Response -- 1 Introduction -- 2 Model Formulation -- 3 Preliminary Analysis of the HPV Model -- 3.1 Positivity and Boundedness of Solutions -- 4 The Disease-Free Equilibrium and the Reproduction Number R0 001438515 5058_ $$a4.1 Global Stability Analysis of the Disease-Free Equilibrium -- 4.2 The Endemic Equilibrium -- 4.3 The CTL-Activated Reproduction Number RK -- 5 Sensitivity Analysis of R0. -- 6 Numerical Simulations -- 7 Discussion and Conclusion -- References -- Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model -- 1 Introduction -- 2 Sensitivity Analysis -- 3 The Model Formulation and Equilibria -- 4 The Optimal Control -- 4.1 Existence of an Optimal Control -- 4.2 Optimality System -- 5 Numerical Simulations -- 6 Conclusion -- References 001438515 506__ $$aAccess limited to authorized users. 001438515 520__ $$aThis volume gathers together selected, peer-reviewed papers presented at the BIOMAT 2020 International Symposium, which was virtually held on November 1-6, 2020, with an organization staff based in Rio de Janeiro, Brazil. Topics covered in this volume include infection modeling, with an emphasis on different aspects of the COVID-19 and novel Coronavirus spread; a description of the effectiveness of quarantine measures via dynamic analysis of SLIR model; hemodynamic simulations in time-dependent domains; an optimal control model for the Ebola disease; and the co-existence of chaos and control in the context of biological models. Texts in agroforestry, economic development, and wastewater treatment processes complete this volume. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 20th edition of the BIOMAT International Symposium has received contributions by authors from 18 countries: Algeria, Brazil, Cameroon, Canada, Chile, China (Hong Kong), Colombia, Germany, Hungary, India, Italy, Morocco, Nigeria, Russia, Senegal, South Africa, USA, and Uzbekistan. Previous BIOMAT volumes with selected works from 2017, 2018, and 2019 were also published by Springer. 001438515 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 6, 2021). 001438515 650_0 $$aBiomathematics$$vCongresses. 001438515 650_0 $$aEpidemiology$$xMathematical models$$vCongresses. 001438515 650_6 $$aBiomathématiques$$vCongrès. 001438515 650_6 $$aÉpidémiologie$$xModèles mathématiques$$vCongrès. 001438515 655_7 $$aConference papers and proceedings.$$2fast$$0(OCoLC)fst01423772 001438515 655_7 $$aConference papers and proceedings.$$2lcgft 001438515 655_7 $$aActes de congrès.$$2rvmgf 001438515 655_7 $$aCongressos.$$2thub 001438515 655_7 $$aLlibres electrònics.$$2thub 001438515 655_0 $$aElectronic books. 001438515 7001_ $$aMondaini, Rubem P.,$$eeditor. 001438515 852__ $$bebk 001438515 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-73241-7$$zOnline Access$$91397441.1 001438515 909CO $$ooai:library.usi.edu:1438515$$pGLOBAL_SET 001438515 980__ $$aBIB 001438515 980__ $$aEBOOK 001438515 982__ $$aEbook 001438515 983__ $$aOnline 001438515 994__ $$a92$$bISE