This report presents properties of the Discrete Pulse Transform on multi-dimensional arrays introduced earlier in [1]. The main result given here in Lemma 2.1 is also formulated in [4, Lemma 21]. However, the proof, being ...
When both human and mosquito populations vary, forward bifurcation occurs if
the basic reproduction number R0 is less than one in the absence of disease-induced
death. When the disease-induced death rate is large enough ...
Anguelov, Roumen; Stoltz, Stephanus Marnus(Elsevier, 2017-03)
This paper presents a numerical investigation into the pattern formation mechanism in the Brusselator model focusing on the interplay between the Hopf and Turing bifurcations. The dynamics of a coupled Brusselator model ...
In this paper we study the nonlinear age-structured model of a polycyclic
two-phase population dynamics including delayed effect of
population density growth on the mortality. Both phases are modelled
as a system of ...
Vector/pest control is essential to reduce the risk of vector‐borne diseases or losses in crops. Among all biological control tools, the sterile insect technique (SIT), which consists of massive releases of sterile insects ...
This paper brings together two methods producing numerical solutions with a statement of their quality - the nonstandard finite difference method and the method of validated computing. It deals with the construction and ...
Anguelov, Roumen; Lubuma, Jean M.-S.; Minani, Froduald(Elsevier, 2009)
Nonstandard finite difference schemes for conservation laws preserving the property of
diminishing total variation of the solution are proposed. Computationally simple implicit schemes are derived by using nonlocal ...