Is fractional-order chaos theory the new tool to model chaotic pandemics as Covid-19?
The deadly outbreak of the second wave of Covid-19, especially in worst hit lower-middle-
income countries like India, and the drastic rise of another growing epidemic of …
income countries like India, and the drastic rise of another growing epidemic of …
Chaotic flows with special equilibria
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …
On the modeling of the interaction between tumor growth and the immune system using some new fractional and fractional-fractal operators
B Ghanbari - Advances in difference equations, 2020 - Springer
Humans are always exposed to the threat of infectious diseases. It has been proven that
there is a direct link between the strength or weakness of the immune system and the spread …
there is a direct link between the strength or weakness of the immune system and the spread …
Dynamics of an HTLV-I infection model with delayed CTLs immune response
S Bera, S Khajanchi, TK Roy - Applied Mathematics and Computation, 2022 - Elsevier
This paper deals with a four dimensional mathematical model for Human T-cell leukemia
virus type-I (HTLV-I) infection that includes delayed CD8+ cytotoxic T-cells (CTLs) immune …
virus type-I (HTLV-I) infection that includes delayed CD8+ cytotoxic T-cells (CTLs) immune …
Intelligent solution predictive networks for non-linear tumor-immune delayed model
In this article, we analyze the dynamics of the non-linear tumor-immune delayed (TID) model
illustrating the interaction among tumor cells and the immune system (cytotoxic T …
illustrating the interaction among tumor cells and the immune system (cytotoxic T …
[HTML][HTML] Analysis of the fractional tumour-immune-vitamins model with Mittag–Leffler kernel
Abstract Recently, Atangana-Baleanu fractional derivative has got much attention of the
researchers due to its non-locality and non-singularity. This operator contains an accurate …
researchers due to its non-locality and non-singularity. This operator contains an accurate …
Dynamics of a two-neuron hopfield neural network: Memristive synapse and autapses and impact of fractional order
There are numerous studies on Hopfield neural networks with electromagnetic induction
using memristors in either autaptic or synaptic connections. In this study, we explore a novel …
using memristors in either autaptic or synaptic connections. In this study, we explore a novel …
Spatiotemporal dynamics of a glioma immune interaction model
S Khajanchi, JJ Nieto - Scientific Reports, 2021 - nature.com
We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells,
macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno …
macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno …
Modelling and analysis of delayed tumour–immune system with hunting T-cells
This study proposes a modified prey–predator-like model consisting of tumour cells, hunting
T-cells, and resting T-cells to illustrate tumour–immune interaction by incorporating discrete …
T-cells, and resting T-cells to illustrate tumour–immune interaction by incorporating discrete …
A mathematical model for tumor-immune competitive system with multiple time delays
A mathematical model is proposed to study the complicated dynamics of tumor-immune
interactions with three discrete time delays. The proposed model consists of nine coupled …
interactions with three discrete time delays. The proposed model consists of nine coupled …