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The Mathematics Behind Biological Invasions
, 2016 This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology.
Mark A. Lewis +2 more
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MATHEMATICS AND COMPLEXITY IN BIOLOGICAL SCIENCES
Mathematical Models and Methods in Applied Sciences, 2011This special issue continues the tradition of the journal Mathematical Models and Methods in Applied Sciences on the modeling, qualitative analysis, and simulation of complex systems. More precisely, systems of many individuals interacting in a non- linear manner.
N Bellomo, F Brezzi
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A mathematical model of biological evolution
Journal of Mathematical Biology, 1982In order to understand generally how the biological evolution rate depends on relevant parameters such as mutation rate, intensity of selection pressure and its persistence time, the following mathematical model is proposed: dNn(t)/dt = (mn(t) - mu)Nn(t) + muNn-1(t) (n = 0,1,2,3,...), where Nn(t) and mn(t) are respectively the number and Malthusian ...
Ishii, K., Matsuda, H., Ogita, N.
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The Mathematics and Mechanics of Biological Growth
Interdisciplinary Applied Mathematics, 2017 This monograph presents a general mechanical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods is illustrated on
Alain Goriely
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Biological control of malaria: A mathematical model
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mini Ghosh, Abid Ali Lashari, Xue-Zhi Li
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Some Mathematics of Biological Oscillations
SIAM Review, 1977A description is given of the qualitative theory of ordinary differential equations which can be used to analyze oscillatory systems in biology, i.e., the existence and stability of periodic solutions of n-dimensional nonlinear systems of ordinary differential equations. The theory is organized around the biological topics.
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A mathematical description of biological clocks
Biosystems, 1967Abstract The implications of a concise mathematical formulation of the effect of light pulses on circadian rhythms are presented and discussed. The description is based on a model originally proposed by Pittendrigh.
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Understanding Complex Biological Systems with Mathematics
Association for Women in Mathematics Series, 2018 This volume examines a variety of biological and medical problems using mathematical models to understand complex system dynamics. Featured topics include autism spectrum disorder, ectoparasites and allogrooming, argasid ticks dynamics, super-fast ...
Radunskaya, Ami +2 more
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On a Mathematical Model of Biological Self-Organization
Proceedings of the Steklov Institute of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolesov, A. Yu. +2 more
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