We are interested in the coexistence of three species forming a tritrophic food chain model. Considering a linear grow for the lowest trophic species or prey, and a type III Holling functional response for the middle and highest trophic species (first and second predator respectively). We prove that this model exhibits two small amplitud periodic solutions bifurcating simultaneously each one fr...

A problem of frequent interest in analyzing nonlinear ODE models of ecological systems is the location of equilibrium states and bifurcations. Interval-Newton techniques are explored for identifying, with certainty, all equilibrium states and all codimension-1 and codimension-2 bifurcations of interest within specified model parameter intervals. The methodology is applied to a tritrophic food c...

In Debnath et al. (2019), a tritrophic food chain model subject to Allee effect on the prey growth and Crowley–Martin senses functional response between intermediate predator top predator, with of sexually reproductive type is considered. It claimed that under certain restrictions parameter space, has bounded solutions for all positive initial conditions, dissipative. We show this not true. par...

Plants attacked by leaf herbivores release volatile organic compounds (VOCs) both locally from the wounded site and systemically from non-attacked tissues. These volatiles serve as attractants for predators and parasitoids. This phenomenon is well described for plant leaves, but systemic induction of VOCs in the roots has remained unstudied. We assessed the spatial and temporal activation of th...

The practice is a two-man training practice with a list of approximately 4,000, mainly in social classes III, IV and V. Over the past five years, 10 trainees have been attached to the practice, each for a period of six months. Three of the trainees have been women. Two hundred and fifty-eight patients who visited the surgery in a two-week period were asked by the receptionist to complete a ques...