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  1. Article

    Open Access

    Steady states of a diffusive predator-prey model with prey-taxis and fear effect

    In this paper, a diffusive predator-prey system with a prey-taxis response subject to Neumann boundary conditions is considered. The stability, the Hopf bifurcation, the existence of nonconstant steady states,...

    Jianzhi Cao, Fang Li, Pengmiao Hao in Boundary Value Problems (2022)

  2. No Access

    Article

    Global stability of multi-group viral models with general incidence functions

    In this paper, strongly connected and non-strongly connected multi-group viral models with time delays and general incidence functions are considered. Employing the Lyapunov functional method and a graph-theor...

    Dejun Fan, Pengmiao Hao, Dongyan Sun in Journal of Mathematical Biology (2018)

  3. Article

    Open Access

    Analysis of dynamics in an eco-epidemiological model with stage structure

    This paper is devoted to the study of an eco-epidemiological model with stage structure in the predator and disease in the prey. To begin with, the positivity and boundedness of the solutions are obtained. Thi...

    Pengmiao Hao, Junjie Wei, Dejun Fan in Advances in Difference Equations (2016)