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Displaying 121 –
140 of
449
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...
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.
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.
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')...
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...
This paper is devoted to the study of a predator-prey model in a patchy environment.
The model represents the interactions between phytoplankton and zooplankton in the water column.
Two patches are considered with respect to light availability: one patch is associated to the
surface layer, the second patch describes the bottom layer. We show that this spatial heterogeneity
may destabilize the predator-prey system, even in oligotrophic system where the nutrient is low
enough to avoid ”paradox-enrichment”...
Currently displaying 121 –
140 of
449