Titlebook: Evolutionary Equations with Applications in Natural Sciences; Jacek Banasiak,Mustapha Mokhtar-Kharroubi Book 2015 Springer International P

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https://doi.org/10.1007/978-1-61779-582-4This chapter is devoted to analysis of a class of reaction-diffusion type models arising from mathematical biology. We focus on mechanisms pattern formation in reaction-diffusion equations coupled to ordinary differential equations. Such systems are applied to modelling of interactions between cellular processes and diffusing signalling factors.

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Kinetic Models in Natural Sciences,In our terminology, a kinetic type equation describes an evolution of a population of objects, depending on attributes from a certain set ., subject to a given set of conservation laws. Equations of this type also are referred to as Master Equations.

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Reaction-Diffusion-ODE Models of Pattern Formation,This chapter is devoted to analysis of a class of reaction-diffusion type models arising from mathematical biology. We focus on mechanisms pattern formation in reaction-diffusion equations coupled to ordinary differential equations. Such systems are applied to modelling of interactions between cellular processes and diffusing signalling factors.

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https://doi.org/10.1007/978-1-4614-0712-6ese notes, some mathematical techniques will be presented for analysing a range of evolution equations that can arise in a number of applied disciplines such as biomathematics and population dynamics. Different types of equations will be examined, but a unifying theme will be provided by developing

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https://doi.org/10.1007/978-1-4899-3487-1ields of mathematics and applications and they are use to study ergodic properties of dynamical systems and describe the evolution of Markov chains. Stochastic semigroups are continuous semigroups of stochastic operators. They describe the behaviour of the distributions of Markov processes like diff

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