@Article{JNMA-2-317,
author = {Song , Jie},
title = {Qualitative Analysis of a Predator-Prey System with Ratio-Dependent and Modified Leslie-Gower Functional Response},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2021},
volume = {2},
number = {3},
pages = {317--332},
abstract = {<p style="text-align: justify;">In this paper, a predator-prey model with ratio-dependent and modified Leslie-Gower functional response subject to homogeneous Neumann boundary condition is considered. First, properties of the constant positive stationary solution are shown, including the existence, nonexistence, multiplicity and stability. In addition, a comparatively characterization of the stability is obtained. Moreover, the existing result of global stability is improved. Finally, properties of nonconstant positive stationary solutions are further studied. By a priori estimate and the theory of Leray-Schauder degree, it is shown that nonconstant positive stationary solutions may exist when the system has two constant positive stationary solutions.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2020.317},
url = {http://global-sci.org/intro/article_detail/jnma/18813.html}
}