5 papers
Travelling Waves in Wolbachia Spread Dynamics
Zhuolin Qu, Tong Wu, Eddy Kwessi
Wolbachia, a maternally transmitted endosymbiont, offers a powerful biological control strategy for mosquito-borne diseases such as dengue, Zika, and malaria. We develop an integro…
Allee Synaptic Plasticity and Memory
Eddy Kwessi
Neural plasticity is fundamental to memory storage and retrieval in biological systems, yet existing models often fall short in addressing noise sensitivity and unbounded synaptic…
Wave Propagation Dynamics via Lattice Difference Equations
Eddy Kwessi
We develop and analyze a lattice difference equation (LDE) framework to model the spatial dynamics of invasion in populations. This framework extends beyond classical integro-diffe…
Uncountable Infinite Exact Solutions to the FitzHugh-Nagumo Model
Shahid Sultan Ali Ramji, Eddy Kwessi, Mujahid Abbas
First time in six decades, uncountable infinite exact solutions of FitzHugh-Nagumo model with diffusion have been found. FitzHugh-Nagumo model is a nonlinear dynamical system appli…
Hierarchical Model with Allee Effect, Immigration, and Holling Type II Functional Response
Eddy Kwessi
In this paper, we discuss a hierarchical model, based on a Ricker competition model. The species considered are competing for resources and may be subject to an Allee effect due to…