Dynamics of plant disease models with continuous and pulse farming awareness control

How to develop the mathematical model of plant disease transmission and consider effect saturated farming awareness strategies on control is great practical significance. To do this, models with continuous pulse strategy have been proposed in present paper. For strategies, threshold values for existence stability multiple equilibria given, persistence discussed; nonlinear impulsive tactics, disease-free periodic solutions are investigated condition further we get conditions permanence system obtain sufficient under which positive solution exists by bifurcation theory. Numerical simulations reveal that people's awareness, especially global plays an important role controlling eradicating disease. Moreover, could result complex dynamic behavior, including period doubling, chaos attractors, makes it difficult design a successful strategy.