Stability of a stochastic one-predator-two-prey population model with time delays

Stability analysis of discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay

“…Remark 2 Recently, the graph-theoretic technique has been used to analyze a single patch population model and a coupled oscillators model; see [15,16] and [17] for example. In [18][19][20][21][22][23][24][25][26], the stability of coupled systems on networks was analyzed effectively by the graph-theoretic technique.…”

Stability of Traveling Wave Fronts for a Three Species Predator‐Prey Model with Nonlocal Dispersals

“…where w(x) is defined by (19). Moreover, (u(x, t), v(x, t), z(x, t)) converges to the traveling wave front (ϕ…”

“…For the multicomponent nonlocal systems, the existence of traveling waves was also investigated in [15,16], while the stability of traveling waves is less investigated and can only be found in [5,17]. Many researchers are widely focused on the complex dynamics of biological systems such as stochastic delay population system [18] and many researchers have studied the Lotka-Volterra time delay models with two competitive preys and one predator [19]. Note that the composite population systems with stochastic effects and time delays present some complex dynamics; thus, this causes widespread researchers concern [20,21].…”

Dynamics and Optimal Harvesting Control for a Stochastic One‐Predator‐Two‐Prey Time Delay System with Jumps

“…Delayed differential equations can exhibit much more complex dynamics than differential equations without delay, and stable equilibrium can become unstable with the effects of a time delay. Therefore, many researchers have studied the Lotka-Volterra time delay models with two competitive preys and one predator [22,23]. Notice that the composite population systems with stochastic effects and time delays present some complex dynamics; thus this causes widespread researchers concern [24][25][26][27][28][29][30].…”