832 citations · 915 across the 10 of their papers we have counts for
10 papers
Simulating neuronal dynamics in fractional adaptive exponential integrate-and-fire models
Alexandru Fikl, Aman Jhinga, Eva Kaslik +1
We introduce an efficient discretization of a novel fractional-order adaptive exponential (FrAdEx) integrate-and-fire model, which is used to study the fractional-order dynamics of…
The generation of diverse traveling pulses and its solution scheme in an excitable slow-fast dynamics
Arnab Mondal, Argha Mondal, M. A. Aziz-Alaoui +3
In this paper, we report on the generation and propagation of traveling pulses in a homogeneous network of diffusively coupled, excitable, slow-fast dynamical neurons. The spatiall…
Non trivial dynamics in the FizHugh-Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems
B. Ambrosio, M. A. Aziz-Alaoui, Argha Mondal +3
In this article, we discuss the dynamics of the 3-dimensional FitzHugh-Rinzel (FHR) model and a class of non-homogeneous FitzHugh-Nagumo (Nh-FHN) Reaction-Diffusion systems. The Nh…
Dynamical analysis of the infection status in diverse communities due to COVID-19 using a modified SIR model
Ian Cooper, Argha Mondal, Chris G. Antonopoulos +1
In this article, we model and study the spread of COVID-19 in Germany, Japan, India and highly impacted states in India, i.e., in Delhi, Maharashtra, West Bengal, Kerala and Karnat…
Effect of mobility in the rock-paper-scissor dynamics with high mortality
Sahil Islam, Argha Mondal, Mauro Mobilia +2
In the evolutionary dynamics of a rock-paper-scissor (RPS) model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstab…
Spatiotemporal characteristics in systems of diffusively coupled excitable slow-fast FitzHugh-Rinzel dynamical neurons
A. Mondal, S. Kumar Sharma, R. Kumar Upadhyay +1
In this paper, we study an excitable, biophysical system that supports wave propagation of nerve impulses. We consider a slow-fast, FitzHugh-Rinzel neuron model where only the memb…
Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons
Argha Mondal, Chittaranjan Hens, Arnab Mondal +1
Neurons are often connected, spatially and temporally, in phenomenal ways that promote wave propagation. Therefore, it is essential to analyze the emergent spatiotemporal patterns…
Dynamic tracking with model-based forecasting for the spread of the COVID-19 pandemic
Ian Cooper, Argha Mondal, Chris G. Antonopoulos
In this paper, a susceptible-infected-removed (SIR) model has been used to track the evolution of the spread of the COVID-19 virus in four countries of interest. In particular, the…
A SIR model assumption for the spread of COVID-19 in different communities
Ian Cooper, Argha Mondal, Chris G. Antonopoulos
In this paper, we study the effectiveness of the modelling approach on the pandemic due to the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed (S…
Emergence of mixed mode oscillations in random networks of diverse excitable neurons: the role of neighbors and electrical coupling
Subrata Ghosh, Argha Mondal, Peng Ji +4
In this paper, we focus on the emergence of diverse neuronal oscillations arising in a mixed population of neurons with different excitability properties. These properties produce…