equation invasion biology and reaction diffusion equations

... via Reaction- Diffusion Equations Spatial Ecology via Reaction- Diffusion Equations R.S Cantrell and C Cosner c 2003 John Wiley & Sons, Ltd ISBN: 0-471-49301-5 Wiley Series in Mathematical and ... treatments of reaction- diffusion theory by being set completely in the context of time-periodic equations and systems The books by Henry (1981) and Smith (1995) give treatments of reactiondiffusion ... Robert Stephen Spatial ecology via reaction- diffusion equations/ Robert Stephen Cantrell and Chris Cosner p cm – (Wiley series in mathematical and computational biology) Includes bibliographical...

Ngày tải lên: 23/03/2014, 01:20

... respectively; τi j (t) and σ ji (t) correspond to the transmission delays and satisfy ≤ τi j (t) ≤ τi j and ≤ σ ji (t) ≤ σ ji (τi j and σ ji are constants); and b j are positive constants, and denote the ... derivatives ∂ui (tk ,x)/∂t and ∂v j (tk ,x)/∂t not exist On the other hand, according to the first and the third equations of model (2.1), there exist the limits ∂ui (tk ∓ 0,x)/∂t and ∂v j (tk ∓ 0,x)/∂t ... jth neurons from FV and the ith neurons from FU at time t and in space x, respectively; αi and β j are constants, and denote the external inputs on the ith neurons from FU and the jth neurons...

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 29/10/2015, 14:20

... Gels References Putting It All Together: Reaction Diffusion Equations and the Methods of Solving Them 4.1 General Form of Reaction Diffusion Equations 4.2 RD Equations that can be Solved Analytically ... Systems 1.3.2 Inanimate Systems 1.4 RD in Science and Technology References 1 12 Basic Ingredients: Diffusion 2.1 Diffusion Equation 2.2 Solving Diffusion Equations 2.2.1 Separation of Variables 2.2.2 ... 10.1 Unsteady Diffusion in an Infinite Tube Unsteady Diffusion in a Finite Tube Is Diffusion Good for Drug Delivery? Random Walks and Diffusion More Than Meets the Eye: Nonapparent Reaction Orders...

Ngày tải lên: 04/06/2014, 15:05

... heat e equations coupled at the boundary,” Journal of Mathematical Analysis and Applications, vol 346, no 1, pp 145–154, 2008 R Ji and S Zheng, “Quenching behavior of solutions to heat equations ... 1631–1643, 2008 M Escobedo and H A Levine, “Critical blowup and global existence numbers for a weakly coupled system of reaction- diffusion equations, ” Archive for Rational Mechanics and Analysis, vol 129, ... system of heat ´ equations coupled at the boundary,” Zeitschrift fur Angewandte Mathematik und Physik, vol 57, no 4, ¨ pp 586–594, 2006 R Ferreira, A de Pablo, M P´ rez-Llanos, and J D Rossi, “Incomplete...

Ngày tải lên: 21/06/2014, 16:20

... and distributed delays and 17 reaction- diffusion terms We can see that the results and research method obtained in this article can also be extended to many other types of NNs with reaction- diffusion ... time-varying and distributed delays and reaction- diffusion terms by using Poincaré integral inequality, Young inequality technique, and Lyapunov method, which are very important in theories and applications ... delays and reaction diffusion terms Chaos Solitons Fractals 23(2), 421– 430 (2005) [15] Cui, B, Lou, X: Global asymptotic stability of BAM neural networks with distributed delays and reaction diffusion...

Ngày tải lên: 21/06/2014, 17:20

... “Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source,” Journal of Differential Equations, vol 153, no 2, pp 374–406, 1999 [4] M Wang and Y Wang, “Properties ... reaction- diffusion equations with nonlocal boundary conditions,” Journal of Computational and Applied Mathematics, vol 88, no 1, pp 225–238, 1998 [16] C V Pao, “Numerical solutions of reaction- diffusion equations ... rate estimate and prove Theorems 1.5 and 1.6 in Section Comparison principal and local existence Let ΩT = Ω × (0,T) and ΩT ∪ ΓT = Ω × [0,T) We begin with the definition of subsolution and supersolution...

Ngày tải lên: 22/06/2014, 19:20

... diffusion equations, ” Communications in Partial Differential Equations, vol 28, no 5-6, pp 1023–1056, 2003 [12] P B´ nilan and M G Crandall, “Regularizing effects of homogeneous evolution equations, ” ... 1985 [16] C Budd and J Norbury, “Semilinear elliptic equations and supercritical growth,” Journal of Differential Equations, vol 68, no 2, pp 169–197, 1987 [17] V A Galaktionov and J L Vazquez, ... and Monographs, American Mathematical Society, Rhode Island, 1988 [19] E DiBenedetto and Y C Kwong, “Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations, ”...

Ngày tải lên: 22/06/2014, 22:20

... Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, New Jersey, 1964 [18] O A Ladyzhenskaya, V A Solonnikov, and N N Uralceva, Linear and Quasilinear Equations of Parabolic Type, ... Analysis, vol 50, no 4, pp 541–560, 2002 [14] U G Abdulla and J R King, “Interface development and local solutions to reaction- diffusion equations, ” SIAM Journal on Mathematical Analysis, vol 32, ... second-order nonlinear degenerate and singular parabolic equations, we refer to [4–6] and to the review article [1] The well-posedness of the DP to nonlinear diffusion equation ((1.1) with b = 0, m...

Ngày tải lên: 22/06/2014, 22:20

... of ERK- and STAT-pathways involved EURASIP Journal on Bioinformatics and Systems Biology in a corresponding kinetic scheme different from those in the papers of Lengyel and Epstein [7] and Alber ... frequency of collisions of ERK and STAT protein molecules and present rate constant of reactions of associations; k2 and k3 are constants of exponential growths and disintegrations; I > inhibitor ... proteins and k is a reaction rate constant of inhibition, respectively It is clear that if Σ increases, the term I increases too and vice versa To analyze (1) we pay firstly attention that only two equations...

Ngày tải lên: 22/06/2014, 22:20

... Source: Ivans and Feree (1987) Respiratory Rates of Some Nonclimacteric Fruits Respiration and Ethylene Production Rates These respiration rates are about double those reported in USDA Handbook 66 ... respiration rates are about double those reported in USDA Handbook 66 (2-4 at 5ºC and 10-17 ml CO2/kg.hr at 20ºC) for mandarins and oranges Skin Staining is a Preharvest Disorder Rind Staining Following ... Operations 90-95% 90- Ethylene During degreening, chlorophyll content (green color) decreases and allows the yellow and orange color (carotenoids) to become visible Ethylene accelerates chlorophyll degradation...

Ngày tải lên: 03/04/2013, 20:58

... rather than pt0 ; t1; x; y , and KBE  becomes @ p ; x; y = ax @ p ; x; y  + 2x @ p ; x; y : @ @x @x2  (KBE’) CHAPTER 16 Markov processes and the Kolmogorov equations 181 Example 16.5 ... t; S t: CHAPTER 16 Markov processes and the Kolmogorov equations We have shown that   vt; S t = IE hS T  F t ; 185  t  T: Note that the random variable hS T  whose conditional ... terminal condition vT; x = x , K +; x  0;  t T; x 0: CHAPTER 16 Markov processes and the Kolmogorov equations and the boundary condition vt; 0 = 0; 187  t  T: An example of such a process...

Ngày tải lên: 18/10/2013, 03:20

... textbooks of G B Folland [2], A W Knapp [1], and H L Royden [1]) I conceived a program mixing elements from two distinct “worlds”: functional analysis (FA) and partial differential equations (PDEs) ... Ekeland [1], I Ekeland [1], and their bibliographies) (e) The theory of large deviations in probability; see, e.g., R Azencott et al [1], D W Stroock [1] (f) The theory of partial differential equations ... following Corollary 1.3 and Exercise 1.1) [Hint: Set α = [x, y] and apply Theorem 1.12 to the functions ϕ and ψ defined as follows: 1 ϕ(z) = x + z − x , z ∈ E, 2 and −tα when z = ty and t ≥ 0, ψ(z) =...

Ngày tải lên: 04/02/2014, 11:10

... Enumeration and Phenotyping 231 19 Handling and storage of cells and sera: practical considerations Stephen E Winikoff, Herbert J Zeh, Richard DeMarco and Michael T Lotze 233 20 Phenotypic and functional ... ac.uk/nomenclature/genefamily/tnftop.html) Both the ligands and receptors share structural similarities and the mature ligands all form trimers (Hehlgans and Mannel, 2002) This review will focus on TNF and the TNF receptors ... Hawn and David M Underhill DNA sequence-specific transcription factors Philip E Auron Genetic diversity in NK and NKT cells Rachel Allen and Anne Cooke Section II Serologic Assays Handling sera and...

Ngày tải lên: 14/02/2014, 15:20

... 1.8 and 3.5 and Chapter gives a very applied flavor Chapter reviews solution techniques and theory of ordinary differential equations and boundary value problems Equilibrium forms of the heat and ... Differential Equations CHAPTER 0.1 Homogeneous Linear Equations The subject of most of this book is partial differential equations: their physical meaning, problems in which they appear, and their ... 10 Contents Preface ix CHAPTER Ordinary Differential Equations 0.1 0.2 0.3 0.4 0.5 CHAPTER Homogeneous Linear Equations Nonhomogeneous Linear Equations 14 Boundary Value Problems 26 Singular Boundary...

Ngày tải lên: 17/02/2014, 14:20

... different directions, then this bandwidth is called “angular bandwidth” or “spatial bandwidth.” Spectral bandwidth determines the temporal coherence, while angular bandwidth determines spatial coherence ... tissue Optical Interferometry for Biology and Medicine presents the physical principles of optical interferometry and describes their application to biological and medical problems It is divided ... phenomena and their general magnitudes It is my hope that this book will be a valuable resource for student and expert alike as they pursue research in optical problems in biology and medicine...

Ngày tải lên: 05/03/2014, 10:20

... and reaction rate according to property and quantity of cement In order to analyze hydration heat of concrete, thermal property of concrete that is related to Adiabatic temperature rise(K), reaction ... rise (K from now on) and the reaction velocity (∝ from now on) was first calculated under the assumed temperature of concrete placement and then the values were corrected and re-analyzed The final ... measured and analyzed (Center) The measured results (Center) Table The amount of adiabatic temperature rise and reaction velocity of the real member Class Temp of concrete placing Temp increased Reaction...

Ngày tải lên: 07/03/2014, 03:20

... membrane and many organelles - bacteria and their relatives are all prokaryotic _ cells - more complex cells - have a nucleus and many organelles - all cells of plants, animals, fungi, and protists ... the nucleus and the plasma membrane interior space is called the Functions: -circulation and transport -storage of proteins and minerals -synthesis of lipids, carbohydrates, and proteins ... transport materials, position and move organelles, maintain and change cell shape, and organize enzymes into functional associations components - actin filaments, microtubules, and intermediate filaments...

Ngày tải lên: 13/03/2014, 17:52

... (A and B) constituted mostly by antiparrellel β strands and one short α helix and resembles a partly closed right hand.85 The differences in catalytic activities of endoxylanases of family 10 and ... agitation and aeration, and optimum conditions for xylanase activity 17,19, 21,23,24,26,38,58,82,83 there is considerable overlapping in the molecular biology and biochemistry of prokaryotic and fungal ... 112, 1995 49 Hazlewood, G P and Gilbert, H J., Molecular biology of hemicellulases, in Hemicelluloses and Hemicellulases, Coughlan, M P and Hazlewood, G P Eds., Portland Press, London, 1993, 103...

Ngày tải lên: 13/03/2014, 21:56

... inspection Harvesting, handling, heat treatment, storage and ripening With increased consumer awareness of papaya and the expansion in production and exports, papaya fruit ripening and handling research ... researchers (Litz and Conover 1977, 1978a; Rajeevan and Pandey 1983, 1986; Mosella and Iligaray 1985; Drew and Smith 1986; Drew 1988; Mondal et al 1990; Reuveni et al 1990; Kataoka and Inoue 1991; ... Reuveni and Schlesinger (1990) and Kataoka and Inoue (1992) but stringent rooting conditions, seasonal factors, and explant type affected rooting success (Kataoka and Inoue 1992; Teo and Chan...

Ngày tải lên: 13/03/2014, 22:03