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Spatial Dynamics and Pattern Formation in Biological Populations

Spatial Dynamics and Pattern Formation in Biological Populations

The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology epidemiology and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology epidemiology and neuroscience are introduced which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics authors present a detailed analysis of different types models of infectious diseases including two models for influenza five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability weakly nonlinear analysis bifurcation analysis control theory numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points Turing instability Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate graduate and research students. For those who are working in the above areas it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses. | Spatial Dynamics and Pattern Formation in Biological Populations

GBP 205.00
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Stays and Corsets Historical Patterns Translated for the Modern Body

English Novel Vol II The Smollett to Austen

English Novel Vol II The Smollett to Austen

The English Novel Volume II: Smollett to Austen collects a series of previously-published essays on the early eighteenth-century novel in a single volume reflecting the proliferation of theoretical approaches since the 1970s. The novel has been the object of some of the most exciting and important critical speculations and the eighteenth-century novel has been at the centre of new approaches both to the novel and to the period between 1750 and 1800. Richard Kroll's introduction seeks to frame the contributions by reference to the most significant critical discussions. These include: the general importance of 'sentimentalism' as a cultural movement after 1750; its relationship to the emergence of the Gothic novel as a specific genre or mode; the rapid rise in the number of women novelists in the later eighteenth century; the relationship between the novel as mediator of social relations and the idea of the 'public sphere'; the relationship between novelistic codes and the massive growth of a consumerist society; the class conflicts of writers like Smollett; the effect on the novel of the new 'British' nation; and the effects of the French Revolution and the subsequent political debates on writers like Wollstonecraft Godwin and Austen. This collection will be of interest to students of the later enlightenment and also to all who are interested in late eighteenth-century radicalism and the general relationship between literature history and politics. | English Novel Vol II The Smollett to Austen

GBP 180.00
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Pharmacokinetic and Pharmacodynamic Data Analysis Concepts and Applications Second Edition

Handbook of Discrete and Computational Geometry

The Chinese Rhyme Tables A New Probe Into the Nature of Middle Chinese Phonology

The Routledge Handbook of Landscape Ecology