ModelingWolbachiainfection in mosquito population via discrete dynamical models

A delayed differential equation model for mosquito population suppression with sterile mosquitoes

“…Mathematical models have been formulated to study the interactive dynamics of wild and sterile mosquito populations or the control of mosquitoes [6,7,9,11,13,14,15,16,17,18,19,23,24,34,35,36,38,39], among which the models in [6,23] involve three different strategies in the releases of sterile mosquitoes with constant release rate, the rate proportional to the wild mosquitoes, and the rate proportional to wild mosquitoes with saturation. It is assumed in [6] that the mosquito population follows the logistic growth in the absence of interactions, and considered homogeneous mosquito populations without distinguishing the four distinct stage of development during a lifetime: egg, pupa, larva, and adult.…”

Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with p-Mean Curvature Operator

“…However, the results on the existence of solutions for problem (D λ, f p ) are scarce in the literature besides the case of p = 1. Nonlinear discrete problems appear in many mathematical models, such as computer science, mechanical engineering, control systems, artificial or biological neural networks, economics, fluid mechanics and many others; see [13][14][15][16][17]. Many authors have discussed the existence and multiplicity of solutions for difference equations through classical tools of nonlinear analysis: Fixed point theorems, upper and lower solutions techniques; see [7,9] and the references given therein.…”

Positive Solutions for a Class of Discrete Mixed Boundary Value Problems with thep,q-Laplacian Operator

“…In recent years, with the development of mechanical engineering, control system, computer science, and economics, the existence of solutions of difference equations has attracted wide attention (see [1][2][3][4][5][6]). For example, applying Ricceri variational principle to obtain the existence of multiple solutions [7][8][9], taking the invariant sets of descending flow to prove the existence of sign-changing solutions [10], making the linking theorem to get the existence and multiplicity of periodic solutions [11], and using critical point theory to obtain the existence of homoclinic solutions [12][13][14][15] and heteroclinic solutions [16].…”