Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—
including the authors' own substantial projects—on uncertainty propagation and …

A reaction–diffusion model with logistic type growth, nonlocal delay effect and Dirichlet
boundary condition is considered, and combined effect of the time delay and nonlocal …

In this paper, the existence, stability, and multiplicity of steady-state solutions and periodic
solutions for a reaction-diffusion model with nonlocal delay effect and nonlinear boundary …

In this paper we propose an age-structured malaria within-host model taking into account
multistrains interaction. We provide a global analysis of the model depending upon some …

This paper investigates a predator–prey model with age structure and two delays. By
formulating the age-structured model with delays as a non-densely defined Cauchy problem …

This book is divided into three parts. The first part is devoted to linear ordinary differential
equations. The second part focuses on nonlinear ordinary differential equations. In the third …

Normal form theory is very important and useful in simplifying the forms of equations
restricted on the center manifolds in studying nonlinear dynamical problems. In this paper …

In this article we first derive some sufficient conditions to establish the monotonicity and
comparison principles of the semi-flow generated by non-densely defined Cauchy problems …

In the framework of population dynamics, the basic reproduction number R 0 is, by definition,
the expected number of offspring that an individual has during its lifetime. In constant and …