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Cluster formation for multi-strain infections with cross-immunity [PDF]
Many infectious diseases exist in several pathogenic variants, or strains, which interact via cross-immunity. It is observed that strains tend to self-organise into groups, or clusters.
Clavez, V.+2 more
core +2 more sources
This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
doaj +1 more source
Within-host models of dengue virus transmission with immune response
Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics.
Muthu Poosan, Modak Bikash
doaj +1 more source
Loop delays appear obviously in several control applications. Due to loop delays, more complications arrive in feedback control systems. Loop delays cannot be avoided in a system controlled via communication networks as it decreases the stability of the ...
D. Piriadarshani, S. Sujitha
semanticscholar +1 more source
Economic stability of non-smooth periodic orbits in the plane: omega limit sets part I
Stiefenhofer and Giesl establish conditions for exponentially asymptotically stability of non-smooth economic periodic orbits derived from a dynamical system defined by a set of autonomous ordinary differential equations with discontinuous right-hand ...
P. Stiefenhofer
semanticscholar +1 more source
Gene Content and Distribution in the Nuclear Genome of Fragaria vesca
Thirty fosmids were randomly selected from a library of Fragaria vesca subsp. americana (cv. Pawtuckaway) DNA. These fosmid clones were individually sheared, and ∼4‐ to 5‐kb fragments were subcloned. Subclones on a single 384‐well plate were sequenced bidirectionally for each fosmid. Assembly of these data yielded 12 fosmid inserts completely sequenced,
Ana Clara Pontaroli+7 more
wiley +1 more source
Almost periodic solution of a discrete competitive system with delays and feedback controls
A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system.
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj +1 more source
A Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species is proposed and studied.
Chen Fengde+3 more
doaj +1 more source
In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R01{R}_{0}\gt 1, there exists a unique endemic ...
Ding Yanlin, Jiao Jianjun
doaj +1 more source
Lyapunov stability solutions of fractional integrodifferential equations
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x(α)(t)=f(t,x(t))+∫t0tk(t,s,x(s))ds, 0 < α ≤ 1, with the initial condition x(α−1)(t0) = x0, have been investigated. Our methods are applications of Gronwall′s lemma and Schwartz inequality.
Shaher Momani, Samir Hadid
wiley +1 more source