Mathematical models for polygamous mating systems

Sexually transmitted infections in polygamous mating systems

Sexually transmitted infections (STIs) are often associated with chronic diseases and can have severe impacts on host reproductive success. For airborne or socially transmitted pathogens, patterns of contact by which the infection spreads tend to be dispersed and each contact may be of very short duration. By contrast, the transmission pathways for STIs are usually characterized by repeated con...

Mathematical Models and Methods for Complex Systems

Robustness of mathematical models for biological systems

The robustness of mathematical models for biological systems is studied by sensitivity analysis and stochastic simulations. Using a neural network model with three genes as the test problem, we study robustness properties of synthesis and degradation processes. For single parameter robustness, sensitivity analysis techniques are applied for studying parameter variations and stochastic simulatio...

Mathematical Models of Endocrine Systems

A mathematical model is proposed to allow expressive representation of endocrine systems by graphic means. The differential equations exactly describing the system can be formulated easily and automatically by the graphic model. Different kinds of software are supposed to solve these equations easily. Chaotic operational range can be found by fitting the parameters of equations. The results can...

Fuzzy Reliability Optimization Models for Redundant Systems

In this paper, a special class of redundancy optimization problem with fuzzy random variables is presented. In this model, fuzzy random lifetimes are considered as basic parameters and the Er-expected of system lifetime is used as a major type of system performance. Then a redundancy optimization problem is formulated as a binary integer programming model. Furthermore, illustrative numerical ex...