In this paper we shall consider the discrete nonlinear delay population model with Allee effect xðnþ 1Þ 1⁄4 xðnÞ expðaðnÞ þ bðnÞxðn xÞ cðnÞxðn xÞÞ; where a(n), b(n) and c(n) are positive sequences of period x and p and q are positive integers. By using the coincidence degree theorem as well as some priori estimates we will establish a sufficient condition for the existence of positive periodic ...

Extreme behavior is produced by small groups, but affects a large amount of people. The fear, the usual strategy of these groups, influences the decisions of the whole population. In this paper we propose a dynamical mathematical model to study the ideological evolution of the population in a region where some groups want to get political goals through violence. After a classification of the su...

We investigate methods for modelling metabolism within populations of cells. Typically one represents the interaction of a cloned population of cells with their environment as though it were one large cell. The question is as to whether any dynamics are lost by this assumption, and as to whether it might be more appropriate to instead model each cell individually. We show that it is sufficient ...

This paper deals with a delayed single population model on time scales. With the assistance of coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. Furthermore, the better estimations for bounds of periodic solutions are established. Keywords—Coincidence degree, continuation theorem, periodic solutions, time scales

An important class of applications of measurement error or constrained factor .analytic models consists of comparing models for se~eral populations. In such cases it is appropriate to 1DClke explicit statistical tests of model similarity across groups and to constrain some parameters of the models to be equal across groups using a priori substantive information. This paper .~ discusses a statis...

Using the axioms of “priority” and “solidarity” (solidarity in the influences of the changes in population or resources on the original members) in a variable and potentially infinite population model, Moreno-Ternero and Roemer (2006) establish an axiomatic characterization of index-egalitarian rules. We show that similar characterization results can be established in a fixed and finite populat...

The dengue virus is an arbovirus transmitted to humans through mosquito Aedes aegypti. To describe the dynamics of dengue disease within these two populations we develop a compartment model taking into account chemical controls and mechanical control applied on the mosquitoes, which are the currently available controlling mechanisms to prevent dengue disease. To mimic seasonal variations, some ...

* Correspondence: csutmlang@163. com School of Mathematical Science and Computing Technology, Central South University, Changsha, 410083, China Abstract Based on an abstract continuous theorem of k-set contractive operator and some analysis skill, a new result is obtained for the existence of positive periodic solutions to a neutral multi-delay logarithmic population model. Some sufficient cond...