Vaccination is important for the elimination of infectious diseases. To finish a vaccination
process, doses usually should be taken several times and there must be some fixed time …

We propose two novel mathematical models with impulsive injection of insulin or its
analogues for type 1 and type 2 diabetes mellitus. One model incorporates the periodic …

Since the beginning of the last century the world is experiencing an important demographic
transition, which will probably impact on economic growth. Many demographers and social …

Structured compartmental models in mathematical biology track age classes, stage classes,
or size classes of a population. Structured modeling becomes important when mechanistic …

In this paper, we consider an integrated pest management model which is impulsively
controlled by means of biological and chemical controls. These controls are assumed to act …

In this paper, we develop a new two-sex mosquito population suppression model including
stage structure and a reproduction delay. Sterile mosquitoes are introduced to suppress the …

In this paper, we consider a periodic competitive stage-structured Lotka–Volterra model with
the effects of toxic substances. It is shown that toxic substances play an important role in the …

Vaccines are not administered on a continuous basis, but injections are practically
introduced at discrete times often separated by an important number of time units, and this …

The agricultural pests can be controlled effectively by simultaneous use (ie, hybrid
approach) of biological and chemical control methods. Also, many insect natural enemies …

According to integrated pest management for pests, we investigate the dynamic behavior of
a class predator–prey system with state-dependent impulsive effects by releasing natural …