Dynamic of a Delayed Predator-Prey Model with Application to Network’ Users’ Data Forwarding

Zhang, Yaming; Koura, Yaya Hamadou; Su, Yanyuan

doi:10.1038/s41598-019-48975-8

Cited by 6 publications

(3 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Rosenzweig-MacArthur models with limited resources attract more and more scholars to study the effect of various factors on prey-predator interactions; see various studies [5,10,20]. This kind of models can be applied to species living in the world's oceans and animal populations on land [3,7,23]. For example, sea lions and penguins, red and grey squirrels, and ants and termites are all species which fall into this category [11].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and chaotic behaviour in stochastic Rosenzweig-MacArthur prey-predator model with non-Gaussian stable Lévy noise

Yuan¹,

Wang²

2022

Preprint

View full text Add to dashboard Cite

We perform dynamical analysis on a stochastic Rosenzweig-MacArthur model driven by α-stable Lévy motion. We analyze the existence of the equilibrium points, and provide a clear illustration of their stability. It is shown that the nonlinear model has at most three equilibrium points. If the coexistence equilibrium exists, it is asymptotically stable attracting all nearby trajectories. The phase portraits are drawn to gain useful insights into the dynamical underpinnings of prey-predator interaction. Specifically, we present a transcritical bifurcation curve at which system bifurcates. The stationary probability density is characterized by the non-local Fokker-Planck equation and confirmed by some numerical simulations. By applying Monte Carlo method and using statistical data, we plot a substantial number of simulated trajectories for stochastic system as parameter varies. For initial conditions that are arbitrarily close to the origin, parameter changes in noise terms can lead to significantly different future paths or trajectories with variations, which reflect chaotic behaviour in mutualistically interacting two-species prey-predator system subject to stochastic influence.

show abstract

Section: Introductionmentioning

confidence: 99%

Bifurcation and chaotic behaviour in stochastic Rosenzweig-MacArthur prey-predator model with non-Gaussian stable Lévy noise

Yuan¹,

Wang²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Analyzing the effect of such delaying mechanisms has been extensively studied in related literature [7,8]. Models with single delay remain attractive in modeling ecosystems in which the studied species compete for habitat or resources [9][10][11]. e delaying mechanism was introduced to take into account gestation period, maturation time and latency, or system lags.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a Delayed Interactive Model Applied to Information Dissemination in Social Networks

Zhang

Liu

Koura

et al. 2021

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

Reducing fake news and rumor propagation through social media may be challenging to achieve when dealing with sensible contents and communities with free access to online shared resources. Controlling rumor dissemination and promoting true news are the main techniques used to strangle false information that may result in dramatic effect on human wellbeing in an open or closed environment. In this article, we studied a predator-prey model with constant delay in both predator and prey equations and applied the proposed model to the underlying relationship between the existing rumor propagating through social media and the related authoritative information containing the truth broadcast to reduce the respective rumor negative effect on the targeted community. We showed that the proposed system was very responsive to small perturbations and exhibited complex dynamical behavior around the steady-state equilibrium when interaction occurs and delay is applied, considering the controlled situations. Numerical results suggested applying relatively small delay, which represents the ideal time to publish the related propagating rumor curative content to reduce its diffusion speed and promote the truth.

show abstract

“…Depending on studied systems and underlying interaction types, the outcome of interaction may be simple or complex. Holling type functional response commonly allows better control of resources accessibility, harvesting time, assimilation efficiency, and so forth [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Dynamic of interactive model for information propagation across social networks media

et al. 2020

Self Cite

View full text Add to dashboard Cite

Controlling information diffusion or propagation through social networks can be challenging when dealing with information related to a subject of highest interest for the public. The complexity level of control depends on subject importance, users’ dynamic, and network structure. When two published messages or pieces of information share the same interest for targeted readers, analyzing their propagation dynamic for control and prediction is of great interest. This article proposes to model, based on a modified interactive system with Holling type functional response, the dynamic of underlying relationship between two broadcasted messages traveling through social networks media. We showed in the qualitative analysis of the proposed model that system could be stable at certain conditions, and the model-system exhibited very rich dynamical behavior. Numerical simulation results validated theoretical analyses and suggested adapting resources harvesting and assimilation efficiency for an authoritative message to stabilize the system and control the dissemination of information in a closed environment.

show abstract

Dynamic of a Delayed Predator-Prey Model with Application to Network’ Users’ Data Forwarding

Cited by 6 publications

References 18 publications

Bifurcation and chaotic behaviour in stochastic Rosenzweig-MacArthur prey-predator model with non-Gaussian stable Lévy noise

Bifurcation and chaotic behaviour in stochastic Rosenzweig-MacArthur prey-predator model with non-Gaussian stable Lévy noise

Dynamics of a Delayed Interactive Model Applied to Information Dissemination in Social Networks

Dynamic of interactive model for information propagation across social networks media

Contact Info

Product

Resources

About