832 citations · 860 across the 6 of their papers we have counts for
7 papers
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…
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…