Sentence examples for biological population dynamics from inspiring English sources

A generic model for the description of biological population dynamics in industrial bioreactors is detailed.

Moreover, the impulsive differential equations dealing with biological population dynamics are literate in [16 21].

We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system.

In this letter, we implement relatively new analytical techniques, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in prey-predator biological population dynamics system.

Equations of this type arise in a number of important applications such as problems in biological population dynamics, in neural network, in quantum theory, in computer science and in control theory.

At the same time, we notice that a class of differential equations with impulsive effects appeared in biological systems, population dynamics, biotechnology, ecology, industrial robotic, and optimal control; for details and references, see [11 14].

It includes structure and dynamics of macromolecules, cells and tissues; the influence of environment; energy transformation and transfer; thermodynamics; biological motility; population dynamics and cell differentiation modeling; biomechanics and tissue rheology; nonlinear phenomena, mathematical and cybernetics modeling of complex systems; and computational biology.

Moreover, we need to pay close attention to a delay in the time, which is a natural concomitant of the finite speed of information processing and/or amplifier switching in the implementation of the systems in various systems such as physical and biological systems, population dynamics, neural networks, networked control systems, and so on.

Avoidance of contaminated areas thus influenced the individuals' movement and feeding, their exposure, and in turn all other biological processes underlying population dynamics.

Moreover, it was also used as biological models for population dynamics [3 5].

Inequality (1.1) appears in many fields, such as fluid mechanics, biological species, and population dynamics, see [1 3].