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Performance Analysis and Coefficient Generation Method of Parallel Hammerstein Model Under Underdetermined Condition. [PDF]
Hu N, Xiang Y, Li M, Li X, Tian J.
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Linking complex microbial interactions and dysbiosis through a disordered Lotka-Volterra model. [PDF]
Pasqualini J +6 more
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Increased nutrient diversity can induce loss of microbial diversity through enhanced resource uptake. [PDF]
Shalev O +4 more
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Stochastic diffusion using mean-field limits to approximate master equations. [PDF]
Hébert-Dufresne L +7 more
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Global stability of epidemic models with uniform susceptibility. [PDF]
Earn DJD, McCluskey CC.
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On the limits of detection of epistatic higher-order interactions
Camacho-Mateu J +4 more
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On a nonlinear volterra equation
Mathematical Methods in the Applied Sciences, 1986AbstractNonnegative solutions u of the nonlinear Volterra equation u = a * g(u) (g(0) = 0) in mathematical physics are considered. Under certain assumptions the nonhomogenuous equation u = a * g(u) + ƒ is studied. Some approximations of nonnegative solutions of the homogenuous equation are considered by the nonnegative solutions of the nonhomogenuous ...
W. Okrasiński Wroclaw, E. Meister
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Homogenization for a Volterra Equation
SIAM Journal on Mathematical Analysis, 1986Les AA. considèrent une équation de Volterra de la forme \[ b_ 0u- div_ x(c*\sigma)=b_ 0u_ 0-\beta *u+H \] où \(c=c(x,t)\) et \(b_ 0=b_ 0(x)\) sont des fonctions positives données, \(\sigma =\sigma (x,\nabla u(x,t))\), \(\beta =\beta (x,t)\) et \(H=H(x,t)\) sont données ainsi que \(u_ 0=u_ 0(x)\).
Attouch, Hedy, Damlamian, Alain
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A Volterra Equation with Parameter
SIAM Journal on Mathematical Analysis, 1973We discuss the Volterra integral equation $x'(t) + \lambda \int_0^t {a(t - \tau )x(\tau )d\tau = k,\lambda \geq \lambda _0 > 0} $. We find conditions under which solutions are bounded on $\{ 0 \leq t < \infty \} $, uniformly in $\lambda $. We deduce results on the asymptotic behavior of certain Volterra equations in Hilbert space arising, for example ...
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On a diffusion volterra equation
Nonlinear Analysis: Theory, Methods & Applications, 1979INTRODUCTION IN THIS paper we study the Volterra diffusion equation au/at = Au + au bu2 u(f*u)t (0.1 a) describing the evolution of some population governed by the intrinsic rate a bu and the memory rate f * u containing the effect of the past history on the actual population development.
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