## About this Research Topic

Vector-borne human diseases are illnesses transmitted from one host to another by arthropod vectors, such as mosquitoes, ticks, and fleas. Vector-borne plant diseases are diseases of plants that insects, mites, or other arthropod vectors transmit. Some examples of vector-borne plant diseases include Cassava ...

Mathematical models can provide valuable insights into the spread of vector-borne diseases and can be used to evaluate the impact of different control strategies. Deterministic and stochastic models are the most common models used to study vector-borne disease dynamics.

Stochastic models incorporate randomness or uncertainty into the model predictions. Deterministic models use mathematical equations to describe the interactions between the vector, the host plant/human, and the pathogen. One common approach is to use differential equations to describe disease transmission dynamics. For example, we can model the change in the number of infected humans over time as a function of the number of mosquitoes, the rate of transmission from mosquitoes to humans, and the rate of recovery or death of infected individuals. These models can provide a complete understanding of vector-borne diseases and inform public health policies and interventions to prevent disease transmission.

Regardless of the specific approach used, mathematical modeling of vector-borne diseases typically involves a combination of data analysis, model fitting, and simulations to make predictions about the spread of illness and the impact of interventions (such as insecticide-treated bed nets or vaccine campaigns). These models can also help to optimize control strategies, for example, by predicting the most effective time for chemical sprays or the most vulnerable stages of the vector's life cycle to target. The control of vector-borne plant diseases often involves a combination of cultural practices (such as crop rotation and pruning), chemical controls (such as insecticides), and biological controls (such as releasing predators of the vector). In some cases, breeding for resistance to the pathogen can also be an effective control strategy.

**Keywords**:
optimal control, impulsive control, basic reproduction number, vector behavioral manipulation (vector bias effect), deterministic model, stability theory, models with time delay, models with media awareness, vector borne disease, bifurcation theory, stochastic model

**Important Note**:
All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.