231 citations · 303 across the 13 of their papers we have counts for
13 papers
Memory reshapes stability landscapes: resilience-resistance tradeoffs and critical transitions
Moein Khalighi, Chandler Ross, Ville Laitinen +2
Regime shifts in biology, ecology, and other complex systems are often interpreted through stability landscapes and early warning signals that implicitly assume dynamics without me…
LDG method for solving spatial and temporal fractional nonlinear convection-diffusion equations
Majid Rajabzadeh, Moein Khalighi
This paper focuses on a nonlinear convection-diffusion equation with space and time-fractional Laplacian operators of orders and , respectively. We develop local…
Stability of Fractional-Order Discrete-Time Systems with Application to Rulkov Neural Networks and Asymmetric Memristor Synapses
Leila Eftekhari, Moein Khalighi, Saeid Abbasbandy
Memristors have emerged as ideal components for modeling synaptic connections in neural networks due to their ability to emulate synaptic plasticity and memory effects. Discrete mo…
Reconstructing ecological community dynamics from limited observations
Chandler Ross, Ville Laitinen, Moein Khalighi +4
Ecosystems tend to fluctuate around stable equilibria in response to internal dynamics and environmental factors. Occasionally, they enter an unstable tipping region and collapse i…
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals
Moein Khalighi, Leo Lahti, Faïçal Ndaïrou +2
The COVID-19 pandemic has presented unprecedented challenges worldwide, necessitating effective modelling approaches to understand and control its transmission dynamics. In this st…
Epidemic Transmission Modeling with Fractional Derivatives and Environmental Pathogens
Moein Khalighi, Faïçal Ndaïrou, Leo Lahti
This research presents an advanced fractional-order compartmental model designed to delve into the complexities of COVID-19 transmission dynamics, specifically accounting for the i…
FdeSolver: A Julia Package for Solving Fractional Differential Equations
Moein Khalighi, Giulio Benedetti, Leo Lahti
Implementing and executing numerical algorithms to solve fractional differential equations has been less straightforward than using their integer-order counterparts, posing challen…
Bifurcation analysis of a fractional-order Pinsky-Rinzel model
Leila Eftekhari, Soleiman Hosseinpour, Moein Khalighi +1
Abstract The present work describes a new fractional-order system of a two-compartment CA3 hippocampal pyramidal cell, which is known as Pinsky-Rinzel model with Caputo fractional…
Three-species predator-prey model with respect to Caputo and Caputo-Fabrizio fractional operators
Leila Eftekhari, Moein Khalighi, Soleiman Hosseinpour +1
We study distributed lag effects in three-dimensional Lotka-Volterra systems by applying the concept of fractional calculus. We derive a new numerical method that provides enhanced…
The strategy of survival for a competition between normal and anomalous diffusion
Moein Khalighi, Jamshid Ardalankia, Abbas Karimi Rizi +2
In this paper, we study the competition of two diffusion processes for achieving the maximum possible diffusion in an area. This competition, however, does not occur in the same ci…
A new approach to solving multi-order fractional equations using BEM and Chebyshev matrix
Moein Khalighi, Mohammad Amirian Matlob, Alaeddin Malek
In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multi-order time-fractional partial differential equatio…
Fractional Dynamics of Network Growth Constrained by aging Node Interactions
Hadiseh Safdari, Milad Zare Kamali, Amirhossein Shirazi +3
In many social complex systems, in which agents are linked by non-linear interactions, the history of events strongly influences the whole network dynamics. However, a class of "co…
Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model
M. Saeedian, M. Khalighi, N. Azimi-Tafreshi +2
Memory has a great impact on the evolution of every process related to human societies. Among them, the evolution of an epidemic is directly related to the individuals' experiences…