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A set of population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, sufficient conditions for the permanence, strictly positive (component wise), global asymptotic stability of the positive equilibrium point are obtained. Some new results are obtained.
Nitric oxide (NO) plays a crucial role in the regulation of blood flow around the body. Biological experiments have shown that blocking NO production induces vasomotion, which is caused by instabilities in blood vessel walls. It has been suggested that the observed vasomotion on NO blockade is because a NO flow dependent system is actually stabilised by the myogenic system, since the coupling together...
Classical model of price competition is based on the supposition of complete rationality, but it's impossible for this supposition to exist in reality. In the paper, on the supposition of bounded rationality, we construct two Bertrand price competition models :one is based on competitors with complete rationality and the ones with bounded rationality, the other is on two competitors with bounded rationality...
This paper considers practical stability of stochastic swarm systems. Taking a simple function of mutual attraction and repulsion between the individuals, a stochastic swarm model with and without perturbations is defined. The practical stability of the system is proved. Then, stochastic swarm models with some kinds of perturbations and their corresponding practical stability are discussed. Finally,...
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