39 citations · 49 across the 12 of their papers we have counts for
12 papers
An eco-epidemiological model with prey-taxis and slow diffusion: Global existence, boundedness and novel dynamics
Ranjit Kumar Upadhyay, Rana D. Parshad, Namrata Mani Tripathi +1
In this manuscript, an attempt has been made to understand the effects of prey-taxis on the existence of global-in-time solutions and dynamics in an eco-epidemiological model, part…
Ecological system with fear induced group defence and prey refuge
Shivam Yadav, Jai Prakash Tripathi, Shrichand Bhuria +5
In this study, we investigate the dynamics of a spatial and non spatial prey-predator interaction model that includes the following: (i) fear effect incorporated in prey birth rate…
Chaos synchronization: Using prey abundance to synchronize two chaotic GLV models
Shubhangi Dwivedi, Nitu Kumari, Ranjit Kumar Upadhyay
This work investigates the synchronization between two chaotic food webs using the generalized Lotka-Volterra (GLV) model consisting of one prey and two predator populations. We, f…
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…
Deciphering dynamics of recent COVID-19 outbreak in India: An age-structured modeling
Vijay Pal Bajiya, Jai Prakash Tripathi, Ranjit Kumar Upadhyay
Infectious disease transmission dynamics are particularly sensitive to social contact patterns, and the precautions people take to limit disease transmission. It depends on the age…
Parametric excitation and Hopf bifurcation analysis of a time delayed nonlinear feedback oscillator
Sandip Saha, Gautam Gangopadhyay, Sangeeta Kumari +1
In this paper, an attempt has been made to understand the parametric excitation of a periodic orbit of nonlinear oscillator which can be a limit cycle, center or a slowly decaying…
Finite time Blow up in a population model with competitive interference and time delay
Rana D. Parshad, Suman Bhowmick, Emmanuel Quansah +2
In the current manuscript, an attempt has been made to understand the dynamics of a time-delayed predator-prey system with modified Leslie-Gower and Beddington-DeAngelis type funct…
Predator interference effects on biological control: The "paradox" of the generalist predator revisited
Suman Bhowmick, Emmanuel Quansah, Aladeen Basheer +2
An interesting conundrum in biological control questions the efficiency of generalist predators as biological control agents. Theory suggests, generalist predators are poor agents…
Long time dynamics of a three-species food chain model with Allee effect in the top predator
Rana D. Parshad, Emmanuel Quansah, Kelly Black +3
The Allee effect is an important phenomenon in population biology characterized by positive density dependence, that is a positive correlation between population density and indivi…
A solution to the evolution-related Truscott-Brindley model for the generalized phytoplankton-zooplankton populations
R. K. Upadhyay
Phytoplankton are tiny floating plants (algae) living in oceans. In the process of photosynthesis, phytoplankton produces half of the world's oxygen. Moreover, by primary productio…
Spatiotemporal dynamics in a spatial plankton system
Ranjit Kumar Upadhyay, Weiming Wang, N. K. Thakur
In this paper, we investigate the complex dynamics of a spatial plankton-fish system with Holling type III functional responses. We have carried out the analytical study for both o…