In recent years, there has been a growing interest in leveraging Scientific Machine Learning
(SciML) techniques to address challenges in solving Partial Differential Equations (PDEs) …

Discretization of a highly nonlinear system is inevitable for good approximation of its
solutions due to lack of its analytical solution. However, a discrete model constructed by …

We here discretize a predator–prey model by standard Euler forward method and non-
standard finite difference method and then compare their dynamic properties with the …

In this paper, we discretize a continuous-time eco-epidemiological model by non-standard
finite difference (NSFD) scheme as well as standard Euler forward scheme. Dynamical …

Discretization of a continuous-time system of dierential equations becomes inevitable due to
the lack of analytical solutions. Standard discretization techniques, however, have many …

The interaction between aphids, ants and ladybirds has been investigated from an
ecological point of view since many decades, while there are no attempts to describe it from …

The honey bees play a role of unquestioned relevance in nature and the comprehension of
the mechanisms affecting their population dynamic is of fundamental importance. As …

We introduced recently a model that takes into account mutation and drug resistance of
tumor cells in a case of simple immune system and immune-suppression caused by the …

We construct two nonstandard finite difference schemes and use them to study a
mathematical model of cancer therapy. Several recent studies show various aspects of the …

We here discretize a predator-prey model by standard Euler forward method and non-
standard finite difference method and then compare their dynamic properties with the …