Dynamical analysis of a delayed predator-prey system with birth pulse and impulsive harvesting at different moments.
Dynamical Aspects of Evolutionary Stability.
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical properties of a delay prey-predator model with disease in the prey species only.
Dynamical system and nonlinear regression for estimate host-parasitoid relationship.
Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans.
Dynamical Systems for Rational Normal Curves.
Dynamics and thresholds of a simple epidemiological model: example of HIV/AIDS in mali.
Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls.
Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls
This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.
Dynamics in a discrete predator-prey system with infected prey
In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
Dynamics of a nonautonomous Leslie-Gower type food chain model with delays.
Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses.
Dynamics of a predator-prey system concerning biological and chemical controls.
Dynamics of a stage structure pest control model with impulsive effects at different fixed time.
Dynamics of a two sex population with gestation period
We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent')...
Dynamics of logistic equations with non-autonomous bounded coefficients.
Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input
Chattopadhyay et al. [Biosystems (2003), 68, pp. 5-17] proposed and analyzed an N – P model in the presence of viral infection on phytoplankton population. They studied the dynamics under the constant nutrient input. The present paper deals with the problem with seasonal variability on nutrient input. We use a general periodic function for nutrient input. We observe the dynamics of the system by considering (i) the infected phytoplankton consumes nutrient and (ii) the infected phytoplankton is not...
Dynamics of Populations Structured by Internal Variables.