Results 21 to 30 of about 130 (113)
Mathematical Model Creation for Cancer Chemo‐Immunotherapy
Computational and Mathematical Methods in Medicine, Volume 10, Issue 3, Page 165-184, 2009., 2009 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
Advances in Nonlinear Analysis, 2014 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
Computational and Mathematical Methods in Medicine, Volume 7, Issue 2-3, Page 71-84, 2006., 2006 Interleukin‐11 (IL‐11) is a pleiotropic thrombopoietic cytokine and immune modulator, clinically approved for alleviation of chemotherapy‐induced thrombocytopenia in non‐myeloid malignancies. IL‐11 therapy exerts fluid accumulation‐associated adverse effects, complicating its administration and limiting its use.
Yuri Kheifetz +3 more
wiley +1 more source
Effect of randomly fluctuating environment on autotroph‐herbivore model system
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3703-3716, 2004., 2004 First we deal with a brief introduction of the autotroph‐herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of ...
Tapan Saha, Malay Bandyopadhyay
wiley +1 more source
A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection
Journal of Biological Dynamics, 2023 The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic.
Chuanqing Xu +7 more
doaj +1 more source
Existence and nonexistence of entire solutions to the logistic differential equation
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 995-1003, 2003., 2003 We consider the one‐dimensional logistic problem (rαA(|u′|)u′) ′=rαp(r)f(u) on (0, ∞), u(0) > 0, u′(0) = 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0, ∞). The framework includes the case where f and p are continuous and positive on (0, ∞), f(0) = 0, and f is nondecreasing.
Marius Ghergu, Vicenţiu Rădulescu
wiley +1 more source
The generalized Turner‐Bradley‐Kirk‐Pruitt equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 73-80, 2002., 2002 Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner‐Bradley‐Kirk‐Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The chief novelty consists in exploiting the value set of the equation, that is, the set of values taken on
Ray Redheffer
wiley +1 more source
Ordinary differential systems describing hysteresis effects and numerical simulations
Abstract and Applied Analysis, Volume 7, Issue 11, Page 563-583, 2002., 2002 We consider a general class of ordinary differential systems which describes input‐output relations of hysteresis types, for instance, play or stop operators. The system consists of two first‐order nonlinear ODEs and one of them includes a subdifferential operator depending on the unknowns.
Emil Minchev +2 more
wiley +1 more source
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley +1 more source
Results in Physics, 2021 The paper aims to extend the model of the Ebola virus in bats to the mathematical model of fractional order using Atangana- Baleanu derivative operator.
M.A.Almuqrin +5 more
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