Don DeAngelis, Ph.D. (Former Employee)
Science and Products
Filter Total Items: 195
Dynamics of a plant-herbivore-predator system with plant-toxicity Dynamics of a plant-herbivore-predator system with plant-toxicity
A system of ordinary differential equations is considered that models the interactions of two plant species populations, an herbivore population, and a predator population. We use a toxin-determined functional response to describe the interactions between plant species and herbivores and use a Holling Type II functional response to model the interactions between herbivores and predators...
Authors
Zhilan Feng, Zhipeng Qiu, Rongsong Liu, Donald L. DeAngelis
Transitions of interaction outcomes in a uni-directional consumer-resource system Transitions of interaction outcomes in a uni-directional consumer-resource system
A uni-directional consumer–resource system of two species is analyzed. Our aim is to understand the mechanisms that determine how the interaction outcomes depend on the context of the interaction; that is, on the model parameters. The dynamic behavior of the model is described and, in particular, it is demonstrated that no periodic orbits exist. Then the parameter (factor) space is shown...
Authors
Y. Wang, Donald L. DeAngelis
A predator-prey model with a holling type I functional response including a predator mutual interference A predator-prey model with a holling type I functional response including a predator mutual interference
The most widely used functional response in describing predator-prey relationships is the Holling type II functional response, where per capita predation is a smooth, increasing, and saturating function of prey density. Beddington and DeAngelis modified the Holling type II response to include interference of predators that increases with predator density. Here we introduce a predator...
Authors
G. Seo, D.L. DeAngelis
Uni-directional consumer-resource theory characterizing transitions of interaction outcomes Uni-directional consumer-resource theory characterizing transitions of interaction outcomes
A resource is considered here to be a biotic population that helps to maintain the population growth of its consumers, whereas a consumer utilizes a resource and in turn decreases its growth rate. Bi-directional consumer–resource (C–R) interactions have been the object of recent theory. In these interactions, each species acts, in some respects, as both a consumer and a resource of the...
Authors
Y. Wang, D.L. DeAngelis, J.N. Holland
Using data from an encounter sampler to model fish dispersal Using data from an encounter sampler to model fish dispersal
A method to estimate speed of free-ranging fishes using a passive sampling device is described and illustrated with data from the Everglades, U.S.A. Catch per unit effort (CPUE) from minnow traps embedded in drift fences was treated as an encounter rate and used to estimate speed, when combined with an independent estimate of density obtained by use of throw traps that enclose 1 m2 of...
Authors
A. Obaza, D.L. DeAngelis, J.C. Trexler
The effect of travel loss on evolutionarily stable distributions of populations in space The effect of travel loss on evolutionarily stable distributions of populations in space
A key assumption of the ideal free distribution (IFD) is that there are no costs in moving between habitat patches. However, because many populations exhibit more or less continuous population movement between patches and traveling cost is a frequent factor, it is important to determine the effects of costs on expected population movement patterns and spatial distributions. We consider a...
Authors
Donald L. DeAngelis, G.S.K. Wolkowicz, Y. Lou, Y. Jiang, M. Novak, R. Svanback, M.S. Araujo, Y.S. Jo, E.A. Cleary
Science and Products
Filter Total Items: 195
Dynamics of a plant-herbivore-predator system with plant-toxicity Dynamics of a plant-herbivore-predator system with plant-toxicity
A system of ordinary differential equations is considered that models the interactions of two plant species populations, an herbivore population, and a predator population. We use a toxin-determined functional response to describe the interactions between plant species and herbivores and use a Holling Type II functional response to model the interactions between herbivores and predators...
Authors
Zhilan Feng, Zhipeng Qiu, Rongsong Liu, Donald L. DeAngelis
Transitions of interaction outcomes in a uni-directional consumer-resource system Transitions of interaction outcomes in a uni-directional consumer-resource system
A uni-directional consumer–resource system of two species is analyzed. Our aim is to understand the mechanisms that determine how the interaction outcomes depend on the context of the interaction; that is, on the model parameters. The dynamic behavior of the model is described and, in particular, it is demonstrated that no periodic orbits exist. Then the parameter (factor) space is shown...
Authors
Y. Wang, Donald L. DeAngelis
A predator-prey model with a holling type I functional response including a predator mutual interference A predator-prey model with a holling type I functional response including a predator mutual interference
The most widely used functional response in describing predator-prey relationships is the Holling type II functional response, where per capita predation is a smooth, increasing, and saturating function of prey density. Beddington and DeAngelis modified the Holling type II response to include interference of predators that increases with predator density. Here we introduce a predator...
Authors
G. Seo, D.L. DeAngelis
Uni-directional consumer-resource theory characterizing transitions of interaction outcomes Uni-directional consumer-resource theory characterizing transitions of interaction outcomes
A resource is considered here to be a biotic population that helps to maintain the population growth of its consumers, whereas a consumer utilizes a resource and in turn decreases its growth rate. Bi-directional consumer–resource (C–R) interactions have been the object of recent theory. In these interactions, each species acts, in some respects, as both a consumer and a resource of the...
Authors
Y. Wang, D.L. DeAngelis, J.N. Holland
Using data from an encounter sampler to model fish dispersal Using data from an encounter sampler to model fish dispersal
A method to estimate speed of free-ranging fishes using a passive sampling device is described and illustrated with data from the Everglades, U.S.A. Catch per unit effort (CPUE) from minnow traps embedded in drift fences was treated as an encounter rate and used to estimate speed, when combined with an independent estimate of density obtained by use of throw traps that enclose 1 m2 of...
Authors
A. Obaza, D.L. DeAngelis, J.C. Trexler
The effect of travel loss on evolutionarily stable distributions of populations in space The effect of travel loss on evolutionarily stable distributions of populations in space
A key assumption of the ideal free distribution (IFD) is that there are no costs in moving between habitat patches. However, because many populations exhibit more or less continuous population movement between patches and traveling cost is a frequent factor, it is important to determine the effects of costs on expected population movement patterns and spatial distributions. We consider a...
Authors
Donald L. DeAngelis, G.S.K. Wolkowicz, Y. Lou, Y. Jiang, M. Novak, R. Svanback, M.S. Araujo, Y.S. Jo, E.A. Cleary