Permanence of a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay.
Persistence and bifurcation analysis on a predator–prey system of holling type
We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.
Persistence and bifurcation analysis on a predator–prey system of holling type
We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.
Persistence and extinction of a stochastic delay predator-prey model under regime switching
The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.
Persistence and stability for a generalized Leslie-Gower model with stage structure and dispersal.
Perturbed Fredholm boundary value problems for delay differential systems.
Perturbed functional and neutral functional evolution equations with infinite delay in Fréchet spaces.
Picard Sets for Entire Functions.
Point initial value problem for linear functional differential equations in Banach spaces.
Polynomial algebra of constants of the four variable Lotka-Volterra system
We describe the ring of constants of a specific four variable Lotka-Volterra derivation. We investigate the existence of polynomial constants in the other cases of Lotka-Volterra derivations, also in n variables.
Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population
Positive almost periodic solutions for a class of nonlinear Duffing equations with a deviating argument.
Positive almost periodic solutions of non-autonomous delay competitive systems with weak allee effect.
Positive and oscillating solutions of equation
Positive periodic solutions for a predator-prey model with time delays and impulsive effect.
Positive periodic solutions for an impulsive ratio-dependent predator-prey system with delays.
Positive periodic solutions for nonautonomous impulsive neutral functional differential systems with time-varying delays on time scales.
Positive periodic solutions in neutral nonlinear differential equations.
Positive periodic solutions of a discrete mutualism model with time delays.
Positive periodic solutions of a neutral functional differential equation with multiple delays
This paper deals with the existence of positive -periodic solutions for the neutral functional differential equation with multiple delays The essential inequality conditions on the existence of positive periodic solutions are obtained. These inequality conditions concern with the relations of and the coefficient function , and the nonlinearity . Our discussion is based on the perturbation method of positive operator and fixed point index theory in cones.