In recent decades, increasingly intensive research attention has been given to dynamical
systems containing delays and those affected by the after-effect phenomenon. Such …

Spatial memory is significant in modeling animal movement. For a diffusive consumer-
resource model, a memory-based diffusion of consumer can result in richer and more …

We apply the pseudospectral discretization approach to nonlinear delay models described
by delay differential equations, renewal equations, or systems of coupled renewal equations …

A SEIR-type model is investigated to evaluate the effects of awareness campaigns in the
presence of factors that can induce overexposure to disease. We find that high levels of …

Evolution equations with convolution-type integral operators have a history of study, yet a
gap exists in the literature regarding the link between certain convolution kernels and new …

We consider nonlinear delay differential and renewal equations with infinite delay. We
extend the work of Gyllenberg et al.[Appl. Math. Comput., 333 (2018), pp. 490–505] by …

We address the problem of the numerical bifurcation analysis of general nonlinear delay
equations, including integral and integro-differential equations, for which no software is …

A comparison of the transit compartment ordinary differential equation modelling approach
to distributed and discrete delay differential equation models is studied by focusing on …

Oncolytic virotherapy (OVT) is a promising treatment for cancer which can replace or support
the traditional treatments like chemotherapy and radiotherapy. Mathematical models have …

In this study we show that concept of backward bifurcation, borrowed from epidemics, can be
fruitfully exploited to shed light on the mechanism underlying the occurrence of hysteresis in …