Mathematical modeling of the propagation of malware: a review

AM del Rey - Security and Communication Networks, 2015 - Wiley Online Library
In the present work, we offer a critical review of the mathematical models that have been
proposed to date to simulate malware propagation in a network of computers or mobile …

Existence of limit cycles in a three level trophic chain with Lotka–Volterra and Holling type II functional responses

V Castellanos, RE Chan-López - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper we analyze a three level trophic chain model, considering a logistic growth for
the lowest trophic level, a Lotka–Volterra and Holling type II functional responses for …

Security countermeasures of a SCIRAS model for advanced malware propagation

JDH Guillen, AM Del Rey, R Casado-Vara - IEEE Access, 2019 - ieeexplore.ieee.org
In the new and sophisticated cyber attacks (mainly, advanced persistent threats) the
advanced specimens of malware such that zero-day malware play a crucial role. Due to its …

Controlling chaos and pattern formation study in a tritrophic food chain model with cannibalistic intermediate predator

N Kumari, V Kumar - The European Physical Journal Plus, 2022 - Springer
The present study constitutes the first systematic investigation on the effect of cannibalism on
a mid-level predator in a tritrophic food chain model. Moreover, it discusses the role of …

Chaos, periodic structures, and multistability: Complex dynamical behaviors of an eco-epidemiological model in parameter planes

S Garai, M Hossain, S Karmakar, N Pal - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
The environmental characteristics of a biological system are imbibed in some particular
parameters of that system. Significant changes in any system parameter exert influence on …

Stability and bifurcation analysis of Hassell–Varley prey–predator system with fear effect

V Kumar, N Kumari - International Journal of Applied and Computational …, 2020 - Springer
In this work, we study a prey–predator system with Hassell–Varley functional response,
which is a predator-dependent functional response. Our goal is to study the dynamics of the …

Strategies for the existence of spatial patterns in predator–prey communities generated by cross-diffusion

S Mishra, RK Upadhyay - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
Fear of predators is an important drive for predator–prey interactions, which increases
survival probability but cost the overall population size of the prey. In this paper, we have …

Complex dynamics of ecological systems under nonlinear harvesting: Hopf bifurcation and Turing instability

RK Upadhyay, P Roy, J Datta - Nonlinear dynamics, 2015 - Springer
In this paper, we study the complex dynamics of a spatial nonlinear predator-prey system
under harvesting. A modified Leslie–Gower model with Holling type IV functional response …

Bifurcation analysis of an e-epidemic model in wireless sensor network

RK Upadhyay, S Kumari - International Journal of Computer …, 2018 - Taylor & Francis
In this paper, we have formulated an e-epidemic energy efficient susceptible-infected–
terminally infected-recovered (SITR) model to analyse the attacking behaviour of worms in …

Dynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refuge

D Jana, R Agrawal, RK Upadhyay - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, an attempt has been made to understand the dynamics of a prey–predator
system with multiple time delays where the predator population is regarded as a generalist …