… like in Holling IV, but in this case from (H1-iii) f ( x ) must be of type IV too or become negative
for high x … Let x f < x 0 be the fixed terminal value of x reached at t = t f ( t 0 ) and k = ⌊ x 0 - x …

We address the question of the optimization of the microalgal biomass long term productivity
in the framework of production in photobioreactors under the influence of day/night cycles. …

… The infection force of a given pathogen genotype having virulence complexity k is f k = kR ( 1
− … The infection force of the pathogen population on the focal variety is F. It is proportional to …

… a larger value ε f is needed close to … ε f while guaranteeing closed-loop stability for the a
priori selected set of initial conditions. Without loss of generality, ε f can be normalized to one (ε f …

In this paper, we study the effects of Beddington–DeAngelis interference and squabbling,
respectively, on the minimal rate of predator release required to drive a pest population to zero. …

The potential positive effects of herbivores on plants have been the subject of debates for
decades. While traditionally, herbivory was considered to have a negative impact on plants, …

… RB variant frequency in S plants, f RB , for all values of the other parameters (table 1). The
frequency f RB strongly impacts the value of Δ (figure 1), intermediate f RB maximizing Δ. For …

Current agricultural practices facilitate emergence and spread of plant diseases through the
wide use of monocultures. Host mixtures are a promising alternative for sustainable plant …

… Thus F is uniformly Lipschitz continuous on H. Using the fact that the solution are positive,
we can now apply Theorem 1.6 page 189 of [28] and conclude that system (3.10) has a unique …

This paper presents a saturated proportional controller that achieves depollution of wastewater
in a continuous anaerobic digester. This goal is reached by defining a region of the state-…