delay differential equation model
Extinction of a delay differential equation model of plankton allelopathy
... a delay differential equation model of the growth of two-species competitive plankton with one toxin producing phytoplankton is studied in this ...a delay differential ...
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A delay differential equation model of mealybugs and green lacewings
... mathematical model of mealybugs and green lacewings with time delay to investigate the population dynamics of mealybugs (a major insect pest of cassava) and green lacewings (a natural enemy of mealybugs) ...
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Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations
... a delay differential equation model, now known as Hutchin- son’s equation which is the delayed logistic equation, to describe the dynamics of a circular causal ...The ...
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Modeling and analysis of plant disease with delay and logistic growth of insect vector
... a delay differential equation model for plant disease where virus is propagated by insect ...proposed model has three equilibria, namely, the bound- ary equilibrium point (insect-free), ...
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A model for sea lice (Lepeophtheirus salmonis) dynamics in a seasonally changing environment
... Sea lice (Lepeophtheirus salmonis) are a significant source of monetary losses on salmon farms. Sea lice exhibit temperature-dependent development rates and salinity-dependent mortality, but to date no deterministic ...
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Review Study of Detection of Diabetes Models through Delay Differential Equations
... where V1 Volume of plasma = 3, V2 Volume of interstitial liquid = 11, V3 Volume of the glucose compartment = 10 III: Explicit Two Time Delay Differential Equation Model This is a single [r] ...
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Shape of transition layers in a differential delay equation
... to model a wide range of physical phenomena, from population dynamics, as discussed by Gurney et al (1980), to physiology, where the production of red blood cells has been described by Mackey (1979); Mackey & ...
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Stochastic delay differential neoclassical growth model
... that model (1.1), a determinate delay differential equation, was first pre- sented by Matsumoto and Szidarovszky [1, 3] who created the economic model based on the work of Day [4–6], Solow [7], ...
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A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man
... This model takes into account the fact that LHRH encourages the production of LH which in turn encourages the production of ...time delay between stimulation of the testis by LH and the rise in testosterone ...
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Stability and Local Hopf Bifurcation Analysis in Rayleigh Price Model with Two Time Delays
... of differential equations in economy and other fields, many domestic and overseas scholars have established many differential equation models which can reflect the characteristics of dynamic ...price ...
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A differential equation with state-dependent delay from cell population biology
... In [2] Alarcón et al. considered ingredients of our model specified in terms of parameters. For this parameterization they have analyzed the possibility of a unique positive equilibrium and computed ...
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The Bezier Control Points Method for Solving Delay Differential Equation
... In this paper, Bezier surface form is used to find the approximate solution of delay differential equations (DDE’s). By using a recurrence relation and the traditional least square minimization method, the ...
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New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation
... a delay differential equation the time derivatives at the current time which depend on the solution and possibly its derivatives at pervious ...order differential equations posses oscillatory ...
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Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ...
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Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
... integral equation and then use Krasnoselskii’s fixed point ...integral equation splits in the sum of two mappings, one is a contraction and the other is ...
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On stability regions of the modified midpoint method for a linear delay differential equation
... Qualitative investigation of difference equations plays a key role in the numerical anal- ysis of differential equations. Particularly, the study of asymptotic stability of numerical schemes (including construction of ...
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A Stochastic Differential Equation Inventory Model
... stochastic differential equation is put forward to model this situation with solutions to it derived when analytically ...Fokker–Planck equation for the diffusion process at the steady ...
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Invariant curves for a delay differential equation with a piecewise constant argument
... The study of differential equations with piecewise constant argument (EPCA) initiated in [, ]. These equations represent a hybrid of continuous and discrete dynamical systems and combine the properties of both ...
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A Note on a Semilinear Fractional Differential Equation of Neutral Type with Infinite Delay
... and delay differential equations lead to investigations of functional differential equations of various types see the books by Hale and Verduyn Lunel 1, Wu 2, Liang et ...
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Representation of solution for a linear fractional delay differential equation of Hadamard type
... to delay differential equations has been con- ...discrete delay equations by proposing the concepts of delay matrix ...linear delay differential equations were studied extensively in ...
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