Zobrazeno 1 - 10
of 456
pro vyhledávání: '"34d23"'
Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic perspective of neuronal activity, these models are essential for inve
Externí odkaz:
http://arxiv.org/abs/2411.07388
We consider a recently introduced model of mosquito dynamics that includes mating and progression through breeding, questing and egg-laying stages of mosquitoes using human and other vertebrate sources for blood meals. By exploiting a multiscale char
Externí odkaz:
http://arxiv.org/abs/2411.06551
This study examines the behavior of solutions in a multi-patch epidemic model that includes a saturation incidence mechanism. When the fatality rate due to the disease is not null, our findings show that the solutions of the model tend to stabilize a
Externí odkaz:
http://arxiv.org/abs/2409.11443
We consider the unexploited/exploited logistic equation and study the stability of equilibrium points through Lyapunov functions. Then, we apply first and second order optimality conditions for the optimal control of the total biomass yield. Finally,
Externí odkaz:
http://arxiv.org/abs/2409.09077
Autor:
Singh, Khushbu, Kaladhar, K.
In the current study, we took into account a model of nonlinear ``predator-prey'' interactions including the ``Allee effect'' on both populations and disease in the predator population. The population as a whole is split into three: the prey populati
Externí odkaz:
http://arxiv.org/abs/2405.15448
Autor:
Wang, Qi
In this paper, we consider a specialist predator-prey patchy model over the closed stream network. We study the dynamics and the asymptotic profiles of positive steady states according to the mortality rate of the specialist predators, advection and
Externí odkaz:
http://arxiv.org/abs/2403.07520
This study presents a mathematical model describing cloned hematopoiesis in chronic myeloid leukemia (CML) through a nonlinear system of differential equations. The primary objective is to understand the progression from normal hematopoiesis to the c
Externí odkaz:
http://arxiv.org/abs/2401.05316
For the reduced two-dimensional Belousov-Zhabotinsky slow-fast differential system, the known results are the existence of one limit cycle and its stability for particular values of the parameters. Here, we characterize all dynamics of this system ex
Externí odkaz:
http://arxiv.org/abs/2312.03200
Autor:
Banasiak, Jacek, Tchoumi, Stephane
In this paper, we show that an extension of the classical Tikhonov--Fenichel asymptotic procedure applied to multiscale models of vector-borne diseases, with time scales determined by the dynamics of human and vector populations, yields a simplified
Externí odkaz:
http://arxiv.org/abs/2309.15935
We show that the toric locus of a reaction network is a smoothly embedded submanifold of the Euclidean space. More precisely, we prove that the toric locus of a reaction network is the image of an embedding and it is diffeomorphic to the product spac
Externí odkaz:
http://arxiv.org/abs/2309.15241