[PDF] Top 20 The global dynamics and optimal control of a plant epidemic model

... The remaining part of paper is organized as follows. In Section 2, we consider the local and global stability properties of the compartmental model. Section 3 is concerned with the corre- sponding ... See full document

... The optimal control experiments tell us that in general, whether the initial population of the invasive species is large or small, the classic TYC strategy (case 2) is always effective from the perspective ... See full document

... Ebola epidemic models that are used to investigate the development of the ...for model stability analysis, parameter estimation, determination of growth and size of epidemic, theories for spread and ... See full document

... transmission dynamics and the best strategies to control the spread of infection in the human ...lio control mechanism [9] [12] [17] [18], using a standard SEIR model ... See full document

... Optimal control hypothesis is an incredible scientific apparatus to settle on choice in- cluding complex dynamical ...to control a sickness best, for modeling what level of the population ought to be ... See full document

... Huanglongbing (HLB) is one of the most serious problems of citrus worldwide which caused by the bacteria Candidatus Liberibacter spp., whose name in Chi- nese means “yellow dragon disease’’, was first reported from ... See full document

... the global stability of an SEIR epidemic model with age-dependent latency and re- ...the global dynamics of an SEIRS epidemic model with periodic vaccination and seasonal ... See full document

... the dynamics of HIV/AIDS with infective immigration both clinically and ...mathematical model consisted of two stages of infection before full-blown AIDS with constant inflow of HIV infectives are developed ... See full document

... 536 | P a g e Avian influenza modeling studies involving humans and birds was carried out in Gumel [6] and Iwami [7]. The number of mathematical modeling studies have been carried out to quantify the potential burden of ... See full document

... increase control of an infectious disease the quarantine and vac- cination methods are used ...become epidemic; that fraction is known as the herd immunity threshold ... See full document

... mathematical model and considered some real data for numerical ...deterministic model for the spread of leptospirosis in Thailand can be found in ...sented global dynamics and bifurcation ... See full document

... SIRC model takes temporary par- tial immunity into ...SIRC model and calculated the basic regeneration number ...SIRC model more closely [9], and discussed the optimal control method in ... See full document

... mathematical model for optimal control and cost-effectiveness analysis of tomato yellow leaf curl virus ...the model has been analytically examined. The preferable optimal level of the ... See full document

... with control is marked by dashed blue lines. The individuals without control are marked by red ...of optimal control reduces a quite larger number of schistosoma (male, female, pair) and ... See full document

... for control of infectious diseases are extensively applied, such as treatment, quarantine, isolation, im- munity ...to control and eradicate infectious disease is also one of the main goals of mathematical ... See full document

... the epidemic or occurs at a point during the evolution of the di- ...Vanderplank model (equation 2) has been much used in developing computer simulations of plant disease epidemics ...to model ... See full document

... the model dynamics under an optimal control based treatment strategy, we consider the feasibility of using stochastic estimation tech- niques on this ...a model has been validated ... See full document

... delay model of species in two ...investigate optimal harvesting and dynamics of the stochastic delay ...the optimal harvesting effort and the maximum of expectation of sustainable yield (ESY) ... See full document

... a model to describe the macro method of infection for the hepatitis B virus with infected ...proposed model with the population under study is divided into ... See full document

... However, the deterministic approach has some limitations in the mathematical model- ing transmission of an infectious disease. Stochastic differential equation (SDE) models play a significant role in various ... See full document