## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

CPAA

Weak and strong convergence for some generalized
proximal point algorithms are
proved. These algorithms include the Eckstein and Bertsekas
generalized proximal point algorithm, a contraction-proximal
point algorithm, and inexact proximal point algorithms.
Convergence rate is also considered.

IPI

The inverse spectral-scattering problems for the radial Schrödinger
equation on the half-line are considered with a real-valued integrable
potential with a finite moment. It is shown that if the potential is
sufficiently smooth in a neighborhood of the origin and its derivatives are
known, then it is uniquely determined on the half-line in terms of the
amplitude or scattering phase of the Jost function without bound state data,
that is, the bound state data is missing.

CPAA

In this paper, a two competing fish species model with combined harvesting is concerned, both the species obey the law
of logistic growth and release a toxic substance to the other. Use spectrum analysis and bifurcation theory, the stability of semi-trivial
solution, positive constant solution and the bifurcation solutions of model are investigated. We discuss bifurcation solutions which
emanate from positive constant solution and trivial solution by taking the growth rate as bifurcation parameter. By the monotonic
method, the existence result of positive steady-state of the model is discussed. The possibility of existence of a bionomic equilibrium
is also obtained by taking the economical factor into consideration. Finally, some numerical examples are given to illustrate the results.

keywords:
Competing model
,
stability
,
bifurcation theory
,
monotonic method
,
bionomic equilibrium.

## Year of publication

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