Mathematical modeling : models, analysis and applications /: models, analysis and applications. (2014)

• Record Type: Book
• Further Information: Note: Sandip Banerjee.
• Authors: Banerjee, Sandip, 1969-
• Contents: About Mathematical Modeling; What Is Mathematical Modeling?; History of Mathematical Modeling; Latest Development in Mathematical Modeling; Various Functional Forms in Mathematical Modeling; Merits and Demerits in Mathematical Modeling Mathematically Modeling Discrete Process; Difference Equations; Introduction to Discrete Models; One Dimensional Density Independent Models; One Dimensional Density Dependent Models; Stability Analysis; Nonlinear Two-Dimensional Models: Stability and Bifurcation Continuous Models Using Ordinary Differential Equations; Introduction to Continuous Models; Formation of Various Continuous Models; Steady State Solutions; Stability and Linearization; Phase Plane Diagrams of Linear Systems; Stability Characteristics; Null Cline Approach; Poincare Bendixson Theory; Bifurcation and Limit Cycle Spatial Models Using Partial Differential Equations; Diffusion Equations: Observations and Consequences; Dispersal Models Using Diffusion; Effect of Density Dependent Dispersal on Population Dynamics; Models for Age Dependent Dispersal; Steady State Solutions and Traveling Waves; Non Linear Stability Analysis for Diffusion Reaction System; Bifurcation Analysis and Limit Cycles; Numerical Solutions of Differential Equations with Diffusion; Pattern Developing Instability in Diffusion Reaction Systems; Effect of Cross Diffusion Modeling with Delay Differential Equations; An Introduction to Delay Differential Equations; Various Mathematical Models with Time Delay; Delay Induced Model for Tumor Immune Interaction (Single Discrete Delay); Stage Structure Predator Prey Models with Multiple Delays and Its Global Stability; Models with Distributed Delays Modeling with Stochastic Differential Equations; Stochastic Process and Stochastic Differential Equations: a Preview; Effect of Additive Noise on a Logistic Equation; Stochastic Stability: Asymptotically Mean Square Stable; Mean Square Stability of a Stochastic Model with Time Delays; Numerical Simulation of Stochastic Differential Equations; Stochastic Metapopulation Models Examples and Exercises appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 511.8; Mathematical models; Mathematical models -- Problems, exercises, etc
• Languages: English
• ISBNs: 9781482249965; 9781482229165
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.