Noise and seasonal effects on the dynamics of plant-herbivore models with monotonic plant growth functions
نویسندگان
چکیده
We formulate general plant-herbivore interaction models with monotone plant growth functions (rates). We study the impact of monotone plant growth functions in general plant-herbivore models on their dynamics. Our study shows that all monotone plant growth models generate a unique interior equilibrium and they are uniform persistent under certain range of parameters values. However, if the attacking rate of herbivore is too small or the quantity of plant is not enough, then herbivore goes extinct. Moreover, these models lead to noise sensitive bursting which can be identified as a dynamical mechanism for almost periodic outbreaks of the herbivore infestation. Montone and non-monotone plant growth models are contrasted with respect to bistability and crises of chaotic attractors.
منابع مشابه
Effects on the 5 Dynamics of Plant – Herbivore 6 Models with Monotonic Plant 7 Growth Functions
We formulate general plant–herbivore interaction models with monotone plant growth 21 functions (rates). We study the impact of monotone plant growth functions in general 22 plant–herbivore models on their dynamics. Our study shows that all monotone plant 23 growth models generate a unique interior equilibrium and they are uniform persistent 24 under certain range of parameters values. However,...
متن کاملComparing the consequences of induced and constitutive plant resistance for herbivore population dynamics.
Although it has been suggested that induced and constitutive plant resistance should have different effects on insect herbivore population dynamics, there is little experimental evidence that plant resistance can influence herbivore populations longer than one season. We used a density-manipulation experiment and model fitting to examine the effects of constitutive and induced resistance on her...
متن کاملMonotone boundary dynamics generate a unique interior equilibrium and burst in general plant-herbivore models
We investigate two general plant-herbivore models: The 1st model involves a single plant species that has an increasing population dynamics with a decreasing growth function, while the 2nd model has a Holling type III function as its plant’s population dynamics. One key feature of these two models is that the boundary dynamics generate a unique interior equilibrium. The interior equilibrium goe...
متن کاملNon-Linear Inflationary Dynamics based on the Concept of Missing Money in Iran
In this research, non-linear inflationary dynamics based on the concept of missing money is studied using the threshold autoregressive models based on seasonal data of the time interval (1990:04-2016:07) for the economy of Iran. The finding of the research shows that simple and Divisia liquidity growth variables are determined as threshold variables, and inflation reacts to changes in the growt...
متن کامل