6 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 loca…
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…