3,849 research outputs found
Modeling and control of complex dynamic systems: Applied mathematical aspects
The concept of complex dynamic systems arises in many varieties, including the areas of energy generation, storage and distribution, ecosystems, gene regulation and health delivery, safety and security systems, telecommunications, transportation networks, and the rapidly emerging research topics seeking to understand and analyse. Such systems are often concurrent and distributed, because they have to react to various kinds of events, signals, and conditions. They may be characterized by a system with uncertainties, time delays, stochastic perturbations, hybrid dynamics, distributed dynamics, chaotic dynamics, and a large number of algebraic loops. This special issue provides a platform for researchers to report their recent results on various mathematical methods and techniques for modelling and control of complex dynamic systems and identifying critical issues and challenges for future investigation in this field. This special issue amazingly attracted one-hundred-and eighteen submissions, and twenty-eight of them are selected through a rigorous review procedure
Modelling and Analysis of a Pest-Control Pollution Model with Integrated Control Tactics
A hybrid impulsive pest control model with stage structure for pest and Holling
II functional response is proposed and investigated, in which the effects of impulsive pesticide
input in the environment and in the organism are considered. Sufficient conditions for global
attractiveness of the pest-extinction periodic solution and permanence of the system are obtained,
which show that there exists a globally asymptotically stable pest-extinction periodic
solution when the number of natural enemies released is more than some critical value, whereas
the system can be permanent when the number of natural enemies released is less than another
critical value. Furthermore, numerical simulations are carried out to illustrate our theoretical
results and facilitate their interpretation
Existence and stability of periodic solution of a Lotka–Volterra predator–prey model with state dependent impulsive effects
AbstractAccording to biological and chemical control strategy for pest, we investigate the dynamic behavior of a Lotka–Volterra predator–prey state-dependent impulsive system by releasing natural enemies and spraying pesticide at different thresholds. By using Poincaré map and the properties of the Lambert W function, we prove that the sufficient conditions for the existence and stability of semi-trivial solution and positive periodic solution. Numerical simulations are carried out to illustrate the feasibility of our main results
Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control
The dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic solutions can be obtained. Furthermore, the corresponding bifurcation diagrams and phase diagrams are investigated by means of numerical simulations which illustrate the feasibility of the main results
Pulse vaccination in the periodic infection rate SIR epidemic model
A pulse vaccination SIR model with periodic infection rate have
been proposed and studied. The basic reproductive number is defined. The
dynamical behaviors of the model are analyzed with the help of persistence,
bifurcation and global stability. It has been shown that the infection-free
periodic solution is globally stable provided and is unstable if
. Standard bifurcation theory have been used to show the existence of
the positive periodic solution for the case of . Finally, the
numerical simulations have been performed to show the uniqueness and the global
stability of the positive periodic solution of the system.Comment: 17pages and 3figures, submmission to Mathematical Bioscience
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