My research involves the analysis of systems of integro-partial differential equations with non-local boundary conditions arising from models of the following types:

1- Size-structured population dynamics models,
2- Age-structured population dynamics models,
3- Age-structured epidemic disease models.
Concerning Size-structured population dynamics models, I have been particularly interested in studying the following aspects: well-posedness of the models, the steady states, the principle of linearized stability and the stability of the steady states. In recent years, Daphnia has received some of my attention, and I wrote a book titled:
Daphnia: Biology and Mathematics Perspectives. ISBN: 978-1-63117-028-7, Nova Sciences Publishers, Inc., U. S. A., 2014.

I have received good reviews for the book, and I am attaching an example. I am also writing a related book, which extends some of the mathematical models for Daphnia in the aforementioned book. Furthermore, I am also preparing to write another book about structured population dynamics models.

Concerning Age-structured population dynamics models, I have been particularly interested in studying the following aspects: the steady states, and the stability of the steady states. I studied Gurtin-MacCamy type models and determined the steady states and examined their stability. Also, I studied cases when there is cannibalism and obtained global stability results.

Furthermore, I studied cases when several populations are interacting, and I also studied genetic models.

 
Concerning Age-structured epidemic disease models, I studied age-structured epidemic disease models when diseases are vertically as well as horizontally transmitted. I have been particularly interested in studying the following aspects: the steady states, the stability of the steady states, the asymptotic behavior and the well-posedness of the models. I also considered various assumptions on the transmission of diseases, for example, when significant fatalities due to diseases occur, vertical transmission of diseases, and  vaccination of susceptible individuals.

 
In addition to my refereeing duties for 4 journals, for which I am currently an editorial member, I have been reviewing research papers for Mathematical Reviews (U.S.A.) and Zentralblatt MATH (Germany), where I have reviewed 54 research papers for both institutes. I am also a reviewer for Nonlinear Analysis Theory, Methods & Applications, Nonlinear Analysis: Real World Applications, and Mathematical Biosciences, (U.S.A.).

In addition, I also refereed papers for other journals.