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A model of regulatory dynamics with threshold-type state-dependent delay

Qingwen Hu
2018 Mathematical Biosciences and Engineering  
We model intracellular regulatory dynamics with threshold-type state-dependent delay and investigate the effect of the state-dependent diffusion time.  ...  periodic oscillations in regulatory dynamics.  ...  It also remains to be investigated that to which extent the model of regulatory dynamics with linear type of state-dependent delay reflects that with a nonlinear one.  ... 
doi:10.3934/mbe.2018039 fatcat:7c5ud7lhb5d57dk2c6fitmmnmu

Linear Equilibria for Dynamic LQG Games with Asymmetric Information and Dependent Types [article]

Nasimeh Heydaribeni, Achilleas Anastasopoulos
2019 arXiv   pre-print
We consider a non-zero-sum linear quadratic Gaussian (LQG) dynamic game with asymmetric information.  ...  Each player observes privately a noisy version of a (hidden) state of the world V, resulting in dependent private observations.  ...  CONCLUSION In this paper, we studied a dynamic LQG game with asymmetric information and dependent types.  ... 
arXiv:1909.04834v1 fatcat:v4oodkaii5fqvphs5itpplbchi

Dynamics in chemotaxis models of parabolic-elliptic type on bounded domain with time and space dependent logistic sources [article]

Tahir Bachar Issa, Wenxian Shen
2017 arXiv   pre-print
This paper considers the dynamics of the following chemotaxis system u_t=Δ u-χ∇ (u·∇ v)+u(a_0(t,x)-a_1(t,x)u-a_2(t,x)∫_Ωu), x∈Ω 0=Δ v+ u-v, x∈Ω ∂ u/∂ n=∂ v/∂ n=0, x∈∂Ω, where Ω⊂R^n(n≥ 1) is a bounded domain  ...  with smooth boundary ∂Ω and a_i(t,x) (i=0,1,2) are locally Hölder continuous in t∈R uniformly with respect to x∈Ω̅ and continuous in x∈Ω̅.  ...  The dynamics of (1.4) (and then the dynamics of (1.3)) is quite well understood.  ... 
arXiv:1609.00794v3 fatcat:iefp2ceeafczrpgivmhypcb57m

Kardar-Parisi-Zhang type dynamics with periodic tilt dependence of the propagation velocity in 1+1 dimensions [article]

Peter Grassberger
2022 arXiv   pre-print
We argue that this is the typical behavior of any interface model with periodic tilt dependence.  ...  We consider the evolution of interfaces with a diffusive term and a generalized Kardar-Parisi-Zhang (KPZ) non-linearity, which results in a propagation velocity that depends periodically on the tilt of  ...  Indeed, this work was performed as part of a larger joint project with them, the main part of which is still to be published.  ... 
arXiv:2111.11414v2 fatcat:cwljimodovde7dk7c7ydvz3hmm

Dynamics and oscillations of a predator prey model with modified Leslie Gower Holling type II schemes time dependent delays [article]

Haifa Ben Fredj, Farouk chérif
2021 arXiv   pre-print
A predator prey system is investigated in this research, which is based on a modified version of the Leslie Gower scheme and a Holling-type II scheme with time dependent delays.  ...  The aim of this paper is to prove the existence of positive almost periodic solution in a Leslie-Gower predator-prey model with continuous delays.  ...  In particulier, Aziz-Alaoui and Daher [3] designed and investigated the following predator-prey model with modified Leslie-Gower and Holling-type II:        du dt = a 1 − bu − c 1 v k 1 + u u,  ... 
arXiv:2111.00041v1 fatcat:fc5nj76ninev5k3haxbpchmg4e

Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type

Axel U. J. Lode, Kaspar Sakmann, Ofir E. Alon, Lorenz S. Cederbaum, Alexej I. Streltsov
2012 Physical Review A. Atomic, Molecular, and Optical Physics  
The exactly solvable quantum many-particle model with harmonic one- and two-particle interaction terms is extended to include time-dependency.  ...  on to a finite value; (iii) the non-equilibrium dynamic for driven scenarios where both the trap- and interparticle-interaction potentials are time-dependent.  ...  In the present study we consider the interesting dynamics occurring in the HIM model with time-independent and even time-dependent Hamiltonians.  ... 
doi:10.1103/physreva.86.063606 fatcat:2t7nb2djlzhlliyjt4co2vq5um

Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls

Jinghui Yang
2008 Discrete Dynamics in Nature and Society  
A ratio-dependent predator-prey system with Holling type III functional response and feedback controls is proposed.  ...  Examples together with their numerical simulations show that the main results are verifiable.  ...  For the discrete ratio-dependent predator-prey model with Holling type III functional response, Fan and Li 19 considered the following system: N 1 k 1 N 1 k exp b 1 k − a 1 k N 1 k − τ 1 − a 1 k N 1 k  ... 
doi:10.1155/2008/186539 fatcat:eyiitdv3obfq5b5wads3fzfrci

The dynamics of magnetic vortices in type II superconductors with pinning sites studied by the time dependent Ginzburg–Landau model

Mads Peter Sørensen, Niels Falsig Pedersen, Magnus Ögren
2017 Physica. C, Superconductivity  
We investigate the dynamics of magnetic vortices in type II superconductors with normal state pinning sites using the Ginzburg-Landau equations.  ...  The system is highly nonlinear and the vortices show complex nonlinear dynamical behaviour.  ...  Introduction The dynamics of magnetic vortices in type II superconductors at temperatures close to the critical temperature can be modelled by the time dependent Ginzburg-Landau equations.  ... 
doi:10.1016/j.physc.2016.08.001 fatcat:rdhpw473tbe57imde6kzdtl24u

ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY

RAVI AGARWAL, SNEZHANA SHRISTOVA, DONAL O'REGAN
2018 Dynamic systems and applications  
In this paper a system with state dependent bounded delay and non-instantaneous impulses is considered. An existence result based on the Banach contraction principle is given.  ...  Several sufficient conditions for Ulam-type stability are obtained. An example is given to illustrate our results.  ...  Ulam type stability was studied for second order differential equations with non-instantaneous impulses in [5] , and for first order differential equations with non-instantaneous impulses see [3] .  ... 
doi:10.12732/dsa.v28i1.3 fatcat:emk4sofnbrf6jc5ztia4uigq7a

Rich dynamics of a food chain model with ratio-dependent type III functional responses

Manju Agarwal, Vimlesh Singh
2018 International Journal of Engineering, Science and Technology  
This paper deals the dynamics of a tri trophic food chain model with ratio-dependent type III functional response.  ...  In second type, delay may introduce in reaction term of top predator population and it assumes that the change rate of predator depends upon the number of prey and of the number of the predators present  ...  They introduced and analyzed a two species model with ratio-dependent type III functional responses.  ... 
doi:10.4314/ijest.v5i3.10 fatcat:qlr3rxg5jjeybbqv2u3jarvxve

Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response

Hongying Lu, Weiguo Wang
2011 Advances in Difference Equations  
A discrete semi-ratio-dependent predator-prey system with Holling type IV functional response and time delay is investigated.  ...  At last, the conclusion ends with brief remarks.  ...  Recently, many authors have explored the dynamics of predator-prey systems with Holling type functional responses [1, 3, 4, 7, [9] [10] [11] [12] [13] [14] .  ... 
doi:10.1186/1687-1847-2011-7 fatcat:xwlqeq6rx5bk7hvwrlyx3xscra

Soliton solutions of nonlinear diffusion–reaction-type equations with time-dependent coefficients accounting for long-range diffusion

Houria Triki, Hervé Leblond, Dumitru Mihalache
2016 Nonlinear dynamics  
Hervé Leblond on Thu, 12/15/2016 -11:11 Titre Soliton solutions of nonlinear diffusion-reaction-type equations with time-dependent coefficients accounting for long-range diffusion Type de publication  ...  Soliton solutions of nonlinear diffusion-reaction-type equations with time-dependent coefficients accounting for long-range diffusion Submitted Résumé en anglais We investigate three variants of nonlinear  ... 
doi:10.1007/s11071-016-3020-x fatcat:5pim463iwzbrlft3ojn6fdq4tm

Dynamical behavior of a stochastic ratio-dependent predator-prey system with Holling type IV functional response

Jing Fu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat, Baslur Abmad
2018 Filomat  
In this paper, we investigate the dynamical properties of a stochastic ratio-dependent predatorprey system with Holling type IV functional response.  ...  The existence of the globally positive solutions to the system with positive initial value is shown employing comparison theorem of stochastic equation and Itô's formula.  ...  Zhang [21] studied dynamics of a stochastic Holling II one-predator two-prey system with jumps.  ... 
doi:10.2298/fil1819549f fatcat:gwe76fgi4zf2bdlbrmyfmzacjy

On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations

M. De la Sen
2019 International Journal of Differential Equations  
This paper formulates sufficiency-type global stability and asymptotic stability results for, in general, nonlinear time-varying dynamic systems with state-trajectory solution-dependent parameterizations  ...  The stability proofs are based on obtaining sufficiency-type conditions which guarantee that either the norms of the solution trajectory or alternative interval-type integrals of the matrix of dynamics  ...  In [14] , an epidemic model with random screening (that is, the detected infectious are removed into a special class) is proposed with a nonlinear incidence rate which depends on the susceptible and the  ... 
doi:10.1155/2019/5097974 fatcat:larspnfdsvcyfhmcu5klr2ny2e

A note on spatial uniformation for Fisher-KPP type equations with a concentration dependent diffusion

J.I. Díaz
2012 International Journal of Dynamical Systems and Differential Equations  
We prove a pointwise gradient estimate for the bounded weak solution of the Cauchy problem associated to the quasilinear Fisher-KPP type equation u t = '(u) xx + (u) when ' satis...es that '(0)=0; and  ...  +1; of bounded weak solutions of this type of problems.  ...  on u of the right hand side is understood as a (t; x)-dependent coe¢ cient).  ... 
doi:10.1504/ijdsde.2012.045995 fatcat:o63ufvf5b5f3bavmpohvrlh3ye
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