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Dynamics Of A Delayed Rumor Propagation Model With Consideration Of Psychological Factors And Forgetting Mechanism, Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir
Dynamics Of A Delayed Rumor Propagation Model With Consideration Of Psychological Factors And Forgetting Mechanism, Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir
Applied Mathematics & Information Sciences
A delayed rumor propagation model with psychological factors and forgetting mechanism is formulated. The local stability of the rumor-free equilibrium and the rumor-prevailing equilibrium is discussed by analyzing the corresponding characteristic equations. Using Lyapunov functional, we prove that the rumor-free equilibrium is globally asymptotically stable when the basic reproduction number R0 ≤ 1. Also, a sufficient condition is obtained for the global asymptotic stability of the rumor-prevailing equilibrium when R0 > 1. Numerical examples are presented to illustrate the theoretical results.
K-Means-Clustering Based Evolutionary Algorithm For Multi-Objective Resource Allocation Problems, A. A. Mousa, M. A. El-Shorbagy, M. A. Farag
K-Means-Clustering Based Evolutionary Algorithm For Multi-Objective Resource Allocation Problems, A. A. Mousa, M. A. El-Shorbagy, M. A. Farag
Applied Mathematics & Information Sciences
The process of finding the optimal allocation of limited resources to a number of tasks for optimizing multiple objectives is called multi-objective resource allocation problem (MORAP). This paper presents K-means-clustering based on one of the evolutionary algorithm, genetic algorithm(GA), to solve MORAP. Using the K-means-clustering algorithm to divide the population to a specific number of sub-populations each of them with dynamic size. Therefore, different operators of GA (crossover&mutation) can be implemented to each subpopulation instead of applied the same GA operators to the all population. The aim of dynamic clustering is to preserve and introduce diversity into solutions, instead of …
A Delayed Mathematical Model For The Acute Inflammatory Response To Infection, Carlo Bianca, Luca Guerrini, Julien Riposo
A Delayed Mathematical Model For The Acute Inflammatory Response To Infection, Carlo Bianca, Luca Guerrini, Julien Riposo
Applied Mathematics & Information Sciences
This paper deals with further developments on a mathematical model recently proposed for the modeling of the acute inflammatory response to infection or trauma. In particular in order to take into account that some interactions have not an immediate effect, we introduce time delays. Specifically the paper deals with the existence of steady states, determining the parameter regimes where the equilibrium points are stable, and the onset of Hopf bifurcation appears. Numerical simulations are performed with the main aim of supporting the analytical results and investigate further dynamics.
Particle Swarm Optimization With Taguchi For Cluster Heads Election In Wireless Sensor Networks, Young-Long Chen, Wan-Ren Chen
Particle Swarm Optimization With Taguchi For Cluster Heads Election In Wireless Sensor Networks, Young-Long Chen, Wan-Ren Chen
Applied Mathematics & Information Sciences
The main features of wireless sensors are energy limited, hence, the algorithm design with the enhancement of energy efficiency becomes an important topic. Divide cluster in a wireless sensor network (WSN) is a very important technology which can blend the data into the cluster to expand the lifetime of the entire network. In this paper, we are going to propose a new algorithm to be associated with a particle swarm optimization (PSO) algorithm and Taguchi algorithm to select the optimal cluster heads from a wireless cluster sensor network. In a WSN, PSO algorithm is used to select cluster head and …
Hopf Bifurcations In A Delayed Microscopic Model Of Credit Risk Contagion, Carlo Bianca, Luca Guerrini
Hopf Bifurcations In A Delayed Microscopic Model Of Credit Risk Contagion, Carlo Bianca, Luca Guerrini
Applied Mathematics & Information Sciences
This paper is concerned with the proof of the existence of Hopf bifurcations in a mathematical model recently proposed in [T. Chen, X. Li, and J. He, Abstract and Applied Analysis 2014, 456764 (2014)] for understanding the complex stochastic dynamics phenomena of credit risk contagion in the financial market. Specifically the model consists in an ordinary differential equation with time-delay. Moreover, by using the normal form theory and center manifold argument, the stability, direction, and period of bifurcating periodic solutions are gained.
Inter-Temporal Optimal Asset Allocation And Time-Varying Risk Aversion, Honglin Yang, Penglan Fang, Hong Wan, Yong Zha
Inter-Temporal Optimal Asset Allocation And Time-Varying Risk Aversion, Honglin Yang, Penglan Fang, Hong Wan, Yong Zha
Applied Mathematics & Information Sciences
The inter-temporal optimal decision is related to investors risk preference. In this study, we analyze the optimal asset allocation over investment horizon of invariable risk preference indicated by constant risk aversion. To capture dynamic property of risk aversion, we relax the assumption of constant risk aversion and formulate a time-varying function in response to the impacts of time and wealth. Our general decision model built on time-varying risk aversion allows us to further investigate the inter-temporal optimal asset allocation. The numerical evidences from the model show that the optimal allocation of risky assets in portfolios is significantly related to investors …
An Intelligent Artificial System : Artificial Immune Based Hybrid Genetic Algorithm For The Vehicle Routing Problem, Li-Fu Hsu, Chiun-Chieh Hsu, Tsai-Duan Lin
An Intelligent Artificial System : Artificial Immune Based Hybrid Genetic Algorithm For The Vehicle Routing Problem, Li-Fu Hsu, Chiun-Chieh Hsu, Tsai-Duan Lin
Applied Mathematics & Information Sciences
Vehicle routing problems are well-known combinational optimization problems with considerable economic significance. Considering the vehicle routing problem with limited capacity on tree is a problem that often naturally arises in railway, river, and rural road networks. In this paper, we describe an artificial immune system that is distributed, robust, dynamic, diverse and adaptive. It captures many features of the vertebrate immune system and proposed an intelligent artificial system which hybrid genetic and immune algorithm to solve the vehicle routing problem with limited capacity on tree. Computational results show the proposed technique to be very competitive with the best-known heuristic routing …
Hopf Bifurcations In A Delayed-Energy-Based Model Of Capital Accumulation, Carlo Bianca, Massimiliano Ferrara, Luca Guerrini
Hopf Bifurcations In A Delayed-Energy-Based Model Of Capital Accumulation, Carlo Bianca, Massimiliano Ferrara, Luca Guerrini
Applied Mathematics & Information Sciences
Building on a contribution by Dalgaard and Strulik [C.L. Dalgaard and H. Strulik, Resource and Energy Economics 33, 782 (2011)], this paper deals with the mathematical modelling for an economy viewed as a transport network for energy in which the law of motion of capital occurs with a time delay. By choosing time delay as a bifurcation parameter, it is proved that the system loses stability and a Hopf bifurcation occurs when time delay passes through critical values. An important scenario arising from the analysis is the existence of limit cycles generated by supercritical Hopf bifurcations. The results are of …