This paper addresses a reliable mathematical modeling of malaria propagation in infected
societies for humans and mosquitoes with an extension of the basic Ross–Macdonald …

Epidemiological models play an important role in the study of diseases. These models
belong to population dynamics models and can be characterized with differential equations …

In this paper, we consider the malaria propagation process for infected populations for
humans and mosquitoes with an extension of the classical Ross model. The numerical …

This paper aims to investigate the qualitative properties of a general SIR model. The model
includes a general function that describes the effect infectious individuals have on …

The qualitative analysis of the numerical solutions of different malaria models is the topic of
this thesis. This means that besides convergence which is the main requirement for …

In order to have an adequate model, the continuous and the corresponding numerical
models on some fixed mesh should preserve the basic qualitative properties of the original …

3 Considered numerical methods and some of their properties 8 3.1 Runge-Kutta
methods............................... 9 3.2 Strong stability preserving (SSP) Runge-Kutta …

We consider the following initial value problem (IVP) for a system of ordinary differential
equations: du (t) dt= f (t, u (t)), t≥ t0, u (t0)= u0(1) where t0∈ R, u0, u (t)∈ Rn, where n∈ N is …

We investigate the qualitative performance of different numerical methods applied to the
Ross-Macdonald malaria model. It is known that for this model a certain set is positively …