Dynamics of a plant-herbivore model with toxin-induced functional response.

Bifurcation analysis of a plant–herbivore model with toxin-determined functional response

A system of ordinary differential equations is considered which models the plant–herbivore interactions mediated by a toxin-determined functional response. The new functional response is a modification of the traditional Holling Type II functional response by explicitly including a reduction in the consumption of plants by the herbivore due to chemical defenses. A detailed bifurcation analysis ...

Dynamics of a discrete-time plant-herbivore model

A model of plant-herbivore interaction with size structure in plants using toxin-determined functional response

One of the possible consequences of global warming in the northern hemisphere is the invasion of Arctic Tundra by woody plants, which is influenced by the chemical defense of plants against mammal browsing. In this paper, we explore the toxin-mediated plant-herbivore interaction with size structure in plants using a simplified mathematical model. The size structure of plants is important as it ...

Global Dynamics of a Plant-Herbivore Model with Toxin-Determined Functional Response

Studies of the dynamics of plant-herbivore interactions that explicitly address model robustness are important in assessing uncertainty. Hence, identifying conditions that guarantee the global stability of plant-herbivore systems can be used to assess the rationale involved in, for example, the selection of management and/or control decisions. The model used here to illustrate these issues is n...

Plant-herbivore interactions mediated by plant toxicity.

We explore the impact of plant toxicity on the dynamics of a plant-herbivore interaction, such as that of a mammalian browser and its plant forage species, by studying a mathematical model that includes a toxin-determined functional response. In this functional response, the traditional Holling Type 2 response is modified to include the negative effect of toxin on herbivore growth, which can ov...