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of 294
pro vyhledávání: '"39a30"'
Autor:
AlSharawi, Ziyad, Kallel, Sadok
We consider the Ricker model with delay and constant or periodic stocking. We found that the high stocking density tends to neutralize the delay effect on stability. Conditions are established on the parameters to ensure the global stability of the e
Externí odkaz:
http://arxiv.org/abs/2407.21551
Autor:
Karakostas, George L.
The first aim of this note is to make clear what is the equilibrium of a fifth order difference equation studied in the literature. Next the investigation of the whole asymptotic behaviour of the solutions of the equation is presented.
Externí odkaz:
http://arxiv.org/abs/2407.08542
Autor:
Boxonov, Z. S.
In this paper, we investigate the dynamical behavior of a two-dimensional discrete mosquito model incorporating an Allee effect. We analyze the system's trajectory comprehensively, examining both local and global dynamics. Our analysis begins by esta
Externí odkaz:
http://arxiv.org/abs/2407.01969
We consider a nonlinear coupled discrete-time model of population dynamics. This model describes the movement of populations within a heterogeneous landscape, where the growth of subpopulations are modelled by (possibly different) bounded Kolmogorov
Externí odkaz:
http://arxiv.org/abs/2405.04505
Autor:
Boxonov, Z. S., Rozikov, U. A.
Mathematical models of glucose, insulin, and pancreatic $\beta$-cell mass dynamics are essential for understanding the physiological basis of type 2 diabetes. This paper investigates the Topp model's discrete-time dynamics to represent these interact
Externí odkaz:
http://arxiv.org/abs/2405.00323
We consider $k$-dimensional discrete-time systems of the form $x_{n+1}=F(x_n,\ldots,x_{n-k+1})$ in which the map $F$ is continuous and monotonic in each one of its arguments. We define a partial order on $\mathbb{R}^{2k}_+$, compatible with the monot
Externí odkaz:
http://arxiv.org/abs/2402.14127
This paper examines a discrete predator-prey model that incorporates prey refuge and its detrimental impact on the growth of the prey population. Age structure is taken into account for predator species. Furthermore, juvenile hunting as well as prey
Externí odkaz:
http://arxiv.org/abs/2308.08864
This contribution summarizes recent work of the authors that combines methods from dynamical systems theory (discrete Painlev\'e equations) and asymptotic analysis of orthogonal polynomial recurrences, to address long-standing questions in map enumer
Externí odkaz:
http://arxiv.org/abs/2308.06369
Autor:
Braverman, Elena, Rodkina, Alexandra
Applying Prediction-Based Control (PBC) $x_{n+1}=(1-\alpha_n)f(x_n)+\alpha_n x_{n}$ with stochastically perturbed control coefficient $\alpha_n=\alpha+\ell \xi_{n+1}$, $n\in \mathbb N$, where $\xi$ are bounded identically distributed independent rand
Externí odkaz:
http://arxiv.org/abs/2307.00650
We consider a discrete-time version of a Hawkes process defined as a Poisson auto-regressive process whose parameters depend on the past of the trajectory. We allow these parameters to take on negative values, modelling inhibition. More precisely, th
Externí odkaz:
http://arxiv.org/abs/2305.08498