In this paper, a fractional dynamical system of predator–prey with Holling type-II functional
response and time delay is studied. Local and global stability of existence steady states and …

In recent years, prey–predator models appearing in various fields of mathematical biology
have been proposed and studied extensively due to their universal existence and …

This monograph gives a systematic presentation of classical and recent results obtained in
the last couple of years. It comprehensively describes the methods concerning the …

Assume that when the number of pests reaches the certain threshold, pest management
strategy will be taken to control pests. Based on this assumption, in this paper, we propose a …

Structured compartmental models in mathematical biology track age classes, stage classes,
or size classes of a population. Structured modeling becomes important when mechanistic …

In this paper, we develop a theoretical framework to investigate the influence of impulsive
periodic disturbance on the evolutionary dynamics of a continuous trait, such as body size …

This paper formulates an infected predator-prey model with Beddington-DeAngelis
functional response from a classical deterministic framework to a stochastic differential …

In this paper, a chemostat model with variable yield and impulsive state feedback control is
considered. We obtain sufficient conditions of the globally asymptotical stability of the system …

In this paper, we investigate a system of two differential equations of fractional order for the
fear effect in prey-predator interactions, in which the density of predators controls the …

In this paper, a new Michaelis–Menten type chemostat model with time delay and pulsed
input nutrient concentration in a polluted environment is considered. We obtain a …