Results 71 to 80 of about 707 (130)
The aim of this paper is to give sufficient conditions for Ψ − conditional asymptotic stability of the Ψ − bounded solutions of a nonlinear Lyapunov matrix differential equation with integral term as right side.
Diamandescu Aurel
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Global stability of the coexistence equilibrium for a general class of models of facultative mutualism [PDF]
Many models of mutualism have been proposed and studied individually. In this paper, we develop a general class of models of facultative mutualism that covers many of such published models. Using mild assumptions on the growth and self-limiting functions,
Berec, Ludek +3 more
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As per the World Health Organization’s (WHO’s) suggestions, personal protection via adopting precautionary measures is one of the most effective control aspects to avoid Zika infection in the absence of suitable medical treatment.
Manisha, Nidhi, Kumar Anuj
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Time-delayed modelling of the COVID-19 dynamics with a convex incidence rate. [PDF]
Babasola O +4 more
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Weak instability of Hamiltonian equilibria
This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time ...
Zampieri, Gaetano
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We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are ...
Dumitru Baleanu +3 more
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Recent studies have intensified the risk of post-COVID-19 cardiovascular diseases. In an effort to understand the intricate dynamics of COVID-19 infection, this article suggests a four-compartment model to portray the dynamic interplay between the ...
Shirisha Gopishetty, Vernekar Saroj
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On nonuniform exponential stability for skew-evolution semiflows on Banach spaces
The paper considers some concepts of nonuniform asymptotic stability for skew-evolution semiflows on Banach spaces. The obtained results clarify differences between the uniform and nonuniform cases.
Megan, Mihail, Stoica, Codruta
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Understanding biofilm--phage interactions in cystic fibrosis patients using mathematical frameworks
When planktonic bacteria adhere together to a surface, they begin to form biofilms, communities of bacteria. Biofilm formation in a host can be extremely problematic if left untreated, especially since antibiotics can be ineffective in treating the ...
Emerenini Blessing O. +6 more
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© Hindawi Publishing Corp. LYAPUNOV STABILITY SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS [PDF]
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x (α)(t) = f(t,x(t)) + ∫ t t0 K(t,s,x(s))ds, 0<α ≤ 1, with the initial condition x (α−1)(t0) = x0, have been investigated.
Samir Hadid, Shaher Momani
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