Haolu Zhang
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View article: Dynamic properties and numerical simulations of a fractional phytoplankton-zooplankton ecological model
Dynamic properties and numerical simulations of a fractional phytoplankton-zooplankton ecological model Open
It is always a difficult and hot topic to effectively explore the dynamic behavior of phytoplankton-zooplankton models. Thus, we investigated dynamic properties and a numerical solution of a fractional-order phytoplankton-zooplankton ecolo…
View article: Research on dynamical behavior of a phytoplankton-zooplankton ecological model
Research on dynamical behavior of a phytoplankton-zooplankton ecological model Open
Phytoplankton-zooplankton ecological models (PZEM) are crucial for comprehending the dynamics and interactions within marine ecosystems. Leveraging the memory effect of fractional-order derivatives , the fractional-order PZEM can more effe…
View article: Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain Open
The fractional-order Benjamin-Bona-Mahony-Burgers (BBMB) equation is a generalization of the classical BBMB equation. It’s dynamic behaviors is much more complex than that of the corresponding integer-order BBMB equation. The main purpose …
View article: Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment
Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment Open
In order to stop and reverse land degradation and curb the loss of biodiversity, the United Nations 2030 Agenda for Sustainable Development proposes to combat desertification. In this paper, a fractional vegetation–water model in an arid f…
View article: Research on pattern dynamics of a class of predator-prey model with interval biological coefficients for capture
Research on pattern dynamics of a class of predator-prey model with interval biological coefficients for capture Open
Due to factors such as climate change, natural disasters, and deforestation, most measurement processes and initial data may have errors. Therefore, models with imprecise parameters are more realistic. This paper constructed a new predator…
View article: Numerical Solution of Euler-Bernoulli Beam Equation by Using Barycentric Lagrange Interpolation Collocation Method
Numerical Solution of Euler-Bernoulli Beam Equation by Using Barycentric Lagrange Interpolation Collocation Method Open
Euler-Bernoulli beam equation is very important that can be applied in the field of mechanics, science and technology. Some authors have put forward many different numerical methods, but the precision is not enough high. In this paper, we …
View article: Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space
Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space Open
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with …