Permanence of a nonlinear mutualism model with time varying delay

Abstract

Sufficient conditions are obtained for the permanence of the following nonlinear mutualism model with time varying delay dN 1 (t) dt = r 1 (t)N 1 (t) K 1 (t) + α 1 (t)N β 1 2 (t − τ 2 (t)) 1 + N β 1 2 (t − τ 2 (t)) − N δ 1 1 (t − σ 1 (t)) , dN 2 (t) dt = r 2 (t)N 2 (t) K 2 (t) + α 2 (t)N β 2 1 (t − τ 1 (t)) 1 + N β 2 1 (t − τ 1 (t) − N δ 2 2 (t − σ 2 (t)) ,

Stability and Bifurcation in a Predator–Prey Model with the Additive Allee Effect and the Fear Effect

“…where 1 1+ f y and m x+a stand for the fear effect and additive Allee effect, respectively; r is the intrinsic growth rate of prey; b is the predation rate; α is the conversion coefficient; and n is the death rate of the predator. As we known, the relationship between prey and predator has always been the focus of scholars [31][32][33][34][35][36][37]; hence, this paper will enrich the literature in this field.…”

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

“…Haileyesus Tessema Alemneh formulated the epidemic model to investigate the dynamical behavior of maize streak virus and developed the control strategies [17]. A number of papers have discussed at least two species for delayed or non-delayed predator-prey models [18][19][20][21][22][23][24]. It has been shown that the majority of epidemiological models can be represented as a system of differential equations, with time lags frequently included [25,26].…”