PersistenceA lumped parameter model to describe the local dynamics of a tri-trophic chain (resource, herbivore, carnivore) is presented. The time evolution of the system is determined by ordinary differential equations and written in terms of normalized biomass of the three levels of the chain. ...
We first establish critical values between persistence in mean and extinction for each species. The results show that persistence and extinction of a species only depends on the demographic impacts of environmental stochasticity on the species and species at lower tropic levels; however, the mean ...
Uptake and persistence of pesticides in plants: measurements and model estimates for imidacloprid after foliar and soil application J. Hazard. Mater. (2009) S.K. Lanka et al. Evaluation of neonicotinoids as pyrethroid alternatives for rice water weevil management in water-seeded rice Crop Prot. (...
PERSISTENCEDYNAMICSSYSTEMSThe dynamics of a three-component model for food web with intraguild predation is considered. The model is based on the collection of ordinary differential equations that describe the interactions among prey, intermediate predator and top predator. First, the model without self...
PersistenceWe study the consequences of omnivory on the dynamic behaviour of a three species food web under chemostat conditions. The food web consists of a prey consuming a nutrient, a predator consuming a prey and an omnivore which preys on the predator and the prey. For each trophic level ...
We applied the prevalent idea of basic reproduction number with its origin from epidemiology to the food chain model, to deduce a condition for extinction and persistence of predator population. Natural systems exhibit an amazing diversity of structures in both living and non-living systems. We ...
Spatial synchrony can increase extinction risk and undermines metapopulation persistence. Both dispersal and biotic interactions can strongly affect spatial synchrony. Here, we explore the spatial synchrony of a tri-trophic food chain in two patches connected by density-dependent dispersal, namely the ...
Both prey and predator density-dependent migrations are considered to observe the effects on stability and persistence of the system. We observe that migration of middle predator has the ability to control chaos in tri-trophic food chain model. Our results indicate that the chance of predator ...
We applied the concept of basic reproduction number from epidemiology to the food chain model, to derive a condition for extinction and persistence of predator population. Global stability of the predator-free equilibrium is established by geometric approach. We use Partial Rank Correlation Coefficient ...
PersistenceWe study the consequences of omnivory on the dynamic behaviour of a three species food web under chemostat conditions. The food web consists of a prey consuming a nutrient, a predator consuming a prey and an omnivore which preys on the predator and the prey. For each trophic level ...