Showing papers in "Applied Mathematics and Computation in 2019"

TL;DR: The results show that proper impulsive control strategy may contribute to the persistence of cooperative populations and maintain the balance of an ecosystem.

TL;DR: A generalized free-matrix-based integral inequality (GFMBII) is presented that overcomes the drawback that the Bessel–Legendre inequality is inconvenient to cope with a time-varying delay system as the resultant bound contains a reciprocal convexity.

TL;DR: The superiority and applicability of the present technique is illustrated by handling linear and nonlinear numerical examples and the outcomes obtained are compared with exact solutions and existing methods to confirm the effectiveness of the reproducing kernel method.

TL;DR: The fear effect can not only reduce the population density of predator at the positive equilibrium, but also stabilize the system by excluding the existence of periodic solutions and it is found that prey refuge has great impact on the persistence of the predator.

TL;DR: This work provides a fundamental connection with classical fractional calculus by writing these general fractional operators in terms of the original Riemann–Liouville fractional integral operator.

TL;DR: A novel epidemic model is proposed by using two-layer multiplex networks to investigate the multiple influence between awareness diffusion and epidemic propagation, where the upper layer represents the awareness diffusion regarding epidemics and the lower layer expresses the epidemic propagation.

TL;DR: A delayed generalized fractional-order prey-predator model with interspecific competition withinterspecific competition is considered, and some sufficient conditions for global asymptotic stability of the equilibrium are developed.

TL;DR: The statistical performance analysis reflects the effectiveness of the image encryption algorithm and shows its potential applications in secure communication.

TL;DR: A new stochastic reliable nonuniform sampling controller with Markov switching topologies is designed for the first time to reflect more realistic control behaviors and to guarantee that UCNNs are synchronous exponentially under probabilistic actuator and sensor faults.

TL;DR: A new linear programming model is developed with two groups of constraints to calculate the equilibrium payoffs of players and find the equilibria of the zero-sum plymatrix games with belief links, and establishes a Dempster-Shafer theory solution to zero- sum polymatrixGames with link uncertainty.

TL;DR: The purpose focuses on designing a controller via the event-triggered scheme, which guarantees that the resulting error networks are finite-time bounded with a prescribed level of the H∞ performance.

TL;DR: Using the algebraic state space representation (ASSR) approach, the dynamics of SBNs with impulsive effect is converted to an algebraic form, and some necessary and sufficient conditions are presented for the finite-time stability of stochastic SBN’s withImpulsive effect.

TL;DR: The Hirota bilinear method is used and with the help of the symbolic calculation and applying the used method, the (2+1)-dimensional Breaking Soliton equation is solved and the graphical representation of the solution is given by Maple and physically interpreted.

TL;DR: Rigorous mathematical proof shows that the origin of the system is finite-time stable in probability and the constraint requirement on the output is not violated.

TL;DR: The basic idea of the method is to use the value of the Fuchs index that appears in the Painleve test to construct the auxiliary equation for finding the first integrals and exact solutions of nonlinear differential equations.

TL;DR: An uncertain multi-objective multi-commodity multi-period multi-vehicle location-allocation mixed-integer mathematical programing model is proposed for the response phase of the earthquake and reveals the superiority of the MMOPSO over the other solution approaches.

TL;DR: Several sufficient criteria are derived to ascertain the aforementioned QVNNs to be globally asymptotically stable and exponentially stable, provided criteria can be verified by the linear matrix inequality (LMI) toolbox in MATLAB.

TL;DR: It is suggested that bifurcation dynamics can be controlled efficaciously for a fractional predator–prey system by carefully adjusting extended feedback delay or fractional order so long as the other parameters are established.

TL;DR: The analysis results have important theoretical significance in designing neural networks and establish a set of new sufficient criteria to guarantee the stability and the appearance of Hopf bifurcation of fractional-order network model with multiple delays.

TL;DR: It is indicated that environmental fluctuations and exogenous toxicant input have a great influence on the survival fate of plankton.

TL;DR: Tested with empirical data, the proposed belief entropy based uncertainty measurement method is proved to be precise to quantify the interference effect and verified that the quantum-like Bayesian Network is a delightful way to accommodate the paradoxical findings in Social Dilemma games.

TL;DR: A Two-stage Iterative Framework for the Influence Maximization in social networks, (i.e., TIFIM) is proposed and it is proved that TifIM converges to a stable order within the finite iterations and that the influence spread of TIF IM according to RAD converged to a specific value within finite computations.

TL;DR: The definition of general fractional derivatives with memory effects named GC derivative and GRL derivative are derived from some basic principles and it is demonstrated that the mathematical expression of Gurtin–Pipkin theory of heat conduction with finite wave speeds is a special example of GC/GRL derivative.

TL;DR: A neuron is considered as a complex charged body and the effect of electromagnetic field is considered to build a new neuron model, which magnetic flux and charges is used to describe the variation of magnetic field and electromagnetic induction, electric field, respectively.

TL;DR: A system of two ephaptically coupled neurons with a periodically time-varying link between the two membrane potentials is considered, finding that the ephaptic coupling has a negligible impact on synchronization, while the coupling through the membrane potential has a strong effect.

TL;DR: A two-layered multiplex network model (usually composed of a virtual layer sustaining unaware-aware-unaware (UAU) dynamics and a physical one supporting susceptible-infected-recovered-dead (SIRD) process) is presented to investigate the spreading property of fatal epidemics in this manuscript.

TL;DR: It is proved that the double inequality π 2 J ( r ′ ) − 51 π − 160 160 r 16 E ( r ) − 5 π 3 × 2 31 r 16 holds for all r ∈ (0, 1).

TL;DR: A dynamic system to model rumor spreading dynamics by the compartment method is developed, and suitable measures to control cyber rumor spreading by properly adjusting the parameter values are proposed.

TL;DR: A simple but general model to characterize different scenarios of shipwrecks, based on the original social force model is proposed, using a body-fitted coordinates, and the presence of "wicked pedestrians" who might hurt others to gain advantage in evacuation is considered.

TL;DR: The larger the field coupling strength is, the better the synchronization of neurons in the chain neural network will be, and the firing rates of neurons are high.