Results 21 to 30 of about 1,031 (124)
On the Integrability of Liénard systems with a strong saddle [PDF]
We study the local analytic integrability for real Li\'{e}nard systems, $\dot x=y-F(x),$ $\dot y= x$, with $F(0)=0$ but $F'(0)\ne0,$ which implies that it has a strong saddle at the origin.
Giné, Jaume, Llibre, Jaume
core +4 more sources
Computational dynamics of predator-prey model with the power-law kernel
Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
doaj +1 more source
Bosonization of World-Sheet Fermions in Minkowski Space-Time [PDF]
We propose a way of bosonizing free world-sheet fermions for $4$-dimensional heterotic string theory formulated in Minkowski space-time. We discuss the differences as compared to the standard bosonization performed in Euclidean space-time.Comment: 1+9 ...
Andrea Pasquinucci +8 more
core +2 more sources
Homoclinic and heteroclinic solutions to a hepatitis C evolution model
Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas +4 more
doaj +1 more source
Finding Liouvillian first integrals of rational ODEs of any order in finite terms [PDF]
It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very special form of a product of ...
Kosovtsov, Yuri N.
core +5 more sources
We introduce a new stochastic robust solver to solve several classes of nonlinear stochastic partial differential equations (NSPDEs). This solver presents the closed formula for the stochastic solutions.
Yousef F. Alharbi +2 more
doaj +1 more source
In this article we study the existence of positive periodic solutions for a fourth-order nonlinear neutral differential equation with variable delay.
Ardjouni Abdelouaheb +2 more
doaj +1 more source
A Hypothetical‐Mathematical Model of Acute Myeloid Leukaemia Pathogenesis
Acute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding normal clones. Haematopoiesis can be seen as an evolutionary tree, starting with one cell that undergoes several divisions during the expansion phase, afterwards losing functional cells during the aging‐related contraction
Andrei Cucuianu, Radu Precup
wiley +1 more source
On the Nagumo uniqueness theorem
By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we
Mustafa, Octavian G., O'Regan, Donal
core +1 more source
Mathematical Model Creation for Cancer Chemo‐Immunotherapy
One of the most challenging tasks in constructing a mathematical model of cancer treatment is the calculation of biological parameters from empirical data. This task becomes increasingly difficult if a model involves several cell populations and treatment modalities.
Lisette de Pillis +7 more
wiley +1 more source

