[PDF] Top 20 On models of physiologically structured populations and their reduction to ordinary differential equations

... a physiologically structured population model as a linear non-autonomous integral equation for the, in general distributed, population level birth ...a physiologically structured population ... See full document

... modelling, ordinary differential equations (ODEs) have been its main ...age structured models, see (Bacaër 2008, 2011; Gyllenberg 2007) for more information on the history of population ... See full document

... Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph ... See full document

... homogenous ordinary differential equations for the probability density function (PDF), Quantile function (QF), survival function (SF), inverse survival function (ISF), hazard function (HF) and ... See full document

... In this work, we presented a series of parallel simulation algorithms for ODEs that are specifically designed to accommodate the features of a modern multi-core CPU. Specifically, the algorithms consider the multiple CPU ... See full document

... centuries, Differential Equations (DEs) have been an important concept in many branches of ...Many Ordinary Differential Equations (ODEs) have been solved analytically to obtain ... See full document

... prove that if there exists a regular Lagrangian flow solution of 1.1 then there is a vector field equivalent to 9 such that the ordinary differential equation ~ = 9 ~, t has non-unique s[r] ... See full document

... linear ordinary differential equations with boundary ...these equations permits to relate both ends in the domain where boundary conditions are ... See full document

... For E E = if the ¢R, the space of all complex-valued continuous functions defined on the real line and equipped with the topology of convergence uniform on all compact subsets of R, Schw[r] ... See full document

... erential equations [1, ...erential Equations (IDDE) ...erential Equations, and Impulsive Di ff erential ...erential equations with delays [1, ... See full document

... 15. Ma, L. F., Chen, Y. H. and Zhang, S. Y., “On the Explicit Formulations of Circular Tube, Bar and Shell of Cylindrically Piezoelectric Material Under Pressuring Load”, Int. J. of Eng. Sci., Vol. 39, (2001), 369-385. ... See full document

... where we’ve simply lumped all the unknown constants together as C. Does this really satisfy the original differential equation (4)? Check and see that it does. If someone had added an initial condition such as P ( ... See full document

... An outline of the book as it is devoted to articles published by the authors evolves in a somewhat natural way around addressing issues relating to initial value problems and boundary value problems for both impulsive ... See full document

... of ordinary differential ...such equations in, for example, models of tumor- immune system interaction [], hematopoiesis [], stability and persistence in plankton models [] which will be ... See full document

... Korhan G¨ unel graduated from Ege University as a mathematician. He received his one of the M.Sc. degrees in computer engineering from Dokuz Eylul University, and received the other one in applied mathematics from Adnan ... See full document

... The fractional Fourier transforms (FrFT) is a generalization of Fourier transforms which was introduced in the field of mathematics many years ago. (Namias, 1980) The idea of FrFT is to provide analytical solution to the ... See full document

... It is well-known that condition H is crucial in obtaining a Picone’s formula in the case when impulses are absent. If H fails to hold, then Wirtinger, Leighton, and Sturm-Picone type results require employing a so-called ... See full document

... On the basis of the above discussion, it is worth considering the robust stability of these equations. To study that, the index notion, which plays a key role in the qualitative theory and in the numerical ... See full document

... Despite the availability of the measles vaccine since 1963, the infectious disease is stile endemic in many parts of world including developed countries and continued causing economic and health problems. Due to these ... See full document

... characterized models retain a major advantage over purely data driven ...whereas models based on more detailed mechanistic relationships could be seen as strongly ...variable models which incorporate ... See full document