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001451503 001__ 1451503
001451503 003__ OCoLC
001451503 005__ 20230310004703.0
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001451503 019__ $$a1351345766
001451503 020__ $$a9789811960161$$q(electronic bk.)
001451503 020__ $$a981196016X$$q(electronic bk.)
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001451503 020__ $$z9789811960154
001451503 0247_ $$a10.1007/978-981-19-6016-1$$2doi
001451503 035__ $$aSP(OCoLC)1351750769
001451503 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001451503 049__ $$aISEA
001451503 050_4 $$aQH352
001451503 08204 $$a577.8/8015118$$223/eng/20221130
001451503 1001_ $$aSeno, Hiromi.
001451503 24512 $$aA primer on population dynamics modeling :$$bbasic ideas for mathematical formulation /$$cHiromi Seno.
001451503 260__ $$aSingapore :$$bSpringer,$$c2022.
001451503 300__ $$a1 online resource (470 p.).
001451503 4901_ $$aTheoretical Biology
001451503 504__ $$aIncludes bibliographical references and index.
001451503 5050_ $$aPart I. Modeling Biological Factors -- Chapter 1. Application of Geometric Progression -- Chapter 2. Influence From Surrounding -- Chapter 3 .From Discrete Time Model to Continuous Time Model -- Chapter 4 Continuous Time Modeling for Birth and Death Processes -- Chapter 5. Continuous Time Modeling for Single Species Population Dynamics -- Chapter 6. Modeling of Interspecific Reaction -- Chapter 7. Modeling for Competitive Relation -- Chapter 8. Modeling for Prey-Predator Relation -- Chapter 9. Modeling with Class Structure -- Chapter 10. Modeling for Age Structure -- Part II. Mathematical Equipments -- Chapter 11. Homogeneous Linear Dierence Equation -- Chapter 12. Qualitative Analysis for Discrete Time Model -- Chapter 13. First Order Linear Ordinary Dierential Equation -- Chapter 14. Qualitative Analysis for Continuous Time Model -- Chapter 15. Essentials of Poisson Process/Distribution.
001451503 506__ $$aAccess limited to authorized users.
001451503 520__ $$aThis textbook provides an introduction to the mathematical models of population dynamics in mathematical biology. The focus of this book is on the biological meaning/translation of mathematical structures in mathematical models, rather than simply explaining mathematical details and literacies to analyze a model. In some recent usages of the mathematical model simply with computer numerical calculations, the model includes some inappropriate mathematical structure concerning the reasonability of modeling for the biological problem under investigation. For students and researchers who study or use mathematical models, it is important and helpful to understand what mathematical setup could be regarded as reasonable for the model with respect to the relation between the biological factors involved in the assumptions and the mathematical structure of the model. Topics covered in this book are; modeling with geometric progression, density effect in population dynamics, deriving continuous time models from discrete time models, basic modeling for birth-death stochastic processes, continuous time models, modeling interspecific reaction for the continuous time population dynamics model, competition and prey-predator dynamics, modeling for population dynamics with a heterogeneous structure of population, qualitative analysis on the discrete time dynamical system, necessary knowledge about fundamental mathematical theories to understand the dynamical nature of continuous time models. The book includes popular topics in ecology and mathematical biology, as well as classic theoretical topics. By understanding the biological meaning of modeling for simple models, readers will be able to derive a specific mathematical model for a biological problem by reasonable modeling. The contents of this book is made accessible for readers without strong Mathematical background.
001451503 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 30, 2022).
001451503 650_0 $$aPopulation biology$$xMathematical models.
001451503 655_0 $$aElectronic books.
001451503 77608 $$iPrint version:$$aSeno, Hiromi$$tA Primer on Population Dynamics Modeling$$dSingapore : Springer,c2022$$z9789811960154
001451503 830_0 $$aTheoretical biology (Singapore)
001451503 852__ $$bebk
001451503 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-6016-1$$zOnline Access$$91397441.1
001451503 909CO $$ooai:library.usi.edu:1451503$$pGLOBAL_SET
001451503 980__ $$aBIB
001451503 980__ $$aEBOOK
001451503 982__ $$aEbook
001451503 983__ $$aOnline
001451503 994__ $$a92$$bISE