The dynamics of a stoichiometric plant-herbivore model and its discrete analog.
Stoichiometry-based models brought into sharp focus the importance of the nutritional quality of plant for herbivore-plant dynamics. Plant quality can dramatically affect the growth rate of the herbivores and may even lead to its extinction. These results stem from models continuous in time, which raises the question of how robust they are to time discretization. Discrete time can be more appropriate for herbivores with non-overlapping generations, annual plants, and experimental data collected periodically. We analyze a continuous stoichiometric plant-herbivore model that is mechanistically formulated. We then introduce its discrete analog and compare the dynamics of the continuous and discrete models. This discrete model includes the discrete LKE model (Loladze, Kuang and Elser (2000)) as a limiting case.
School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, P. R. China. wtplay@hotmail.com
Guangyu
G
Sui
Meng
M
Fan
Irakli
I
Loladze
Yang
Y
Kuang
D000220:Adaptation, Biological; D000818:Animals; D005075:Biological Evolution; D017753:Ecosystem; D005247:Feeding Behavior; D020387:Food Chain; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical; D018521:Plant Physiological Phenomena; D010944:Plants / Q000378:metabolism*; D011157:Population Dynamics; D049490:Systems Biology; D013997:Time Factors