Mantis model is a widely used concept in science and engineering, mainly used to describe and understand the dynamic behavior of complex systems. The name comes from the hunting method of the insect mantis, which is characterized by its keen perception and rapid reaction to the environment. The Mantis model helps analyze and predict the overall performance of a system by modeling the interrelationships between the various components of the system.
The core idea of this model is to regard the system as composed of multiple components that interact with each other, and to describe the interaction of these components through mathematics and calculation methods. Mantis model is often applied in the fields of ecosystem, economic model, information network and so on. In these complex systems, the interactions between the individual elements often produce nonlinear results, making simple linear analysis unable to capture the true dynamic changes.
In ecology, the mantis model can be used to simulate the relationship between predator and prey. Here, the behavior of the predator will affect the number of prey, and the number of prey change will in turn affect the survival state of the predator. This two-way feedback mechanism is an important key to understanding ecological balance.
In economics,the Mantis model can be used to study the interactions between market participants and how these interactions affect market prices and economic stability. As participants' strategies change,market conditions may experience periodic fluctuations, especially during economic crises and booms.
The technology field is also beginning to use the mantis model to optimize the design of complex systems. For example,in the information network,the connection and data transmission between each node can be modeled with the mantis model to improve the efficiency and reliability of network transmission.

The cockroach model is a widely used research tool in biology, ecology and artificial intelligence. The model is inspired by the cockroach, a creature whose unique ecological adaptations and behavioral characteristics allow it to survive and thrive in a variety of environments.
Cockroaches are known for their high survivability, being able to survive in extreme conditions such as lack of water, high temperatures and lack of food. This strong adaptation provides scientists with an important research topic, and by studying the survival strategies of cockroaches, researchers are able to better understand how organisms survive in changing environments, and apply this knowledge to practical work in ecological conservation and biodiversity maintenance.
In the field of artificial intelligence, the cockroach model also shows its unique value. The researchers used the behavioral patterns of cockroaches to design algorithms based on the wisdom of crowds. These algorithms simulate collective actions of cockroaches,such as foraging and avoiding enemies, to solve complex problems. The collective decision-making mechanism of cockroaches enables efficient task allocation and resource utilization in multi-agent systems,thus improving the overall performance of the system.
The movement patterns and reaction mechanisms of cockroaches also provide inspiration for robotics research. Mimicking the flexible movement of cockroaches in complex environments,researchers have developed a series of new robots that can move freely in confined Spaces and complex terrain, showing strong environmental adaptability. This not only pushes forward the development of robotics,but also opens up new directions for future automation systems.
In addition,cockroach models are of great significance in urban ecology. The complexity and dynamics of the urban environment make the ecosystem often disturbed. By analyzing the behavior of cockroaches in the urban environment.

The cockroach model is an important bio-inspired design that is widely used in robotics, drone development, and automation systems. By simulating the physiological structure and movement mechanism of cockroaches, the model demonstrates a high degree of adaptability and flexibility, making it more capable of performing tasks in complex environments.

First, cockroaches are remarkable for their locomotion. They have six strong legs that allow them to move quickly over a variety of terrain. This multi-legged structure provides the insect with superior stability and flexibility. Cockroaches can change direction in an instant and even backtrack to avoid predators. By analyzing the cockroach's movement patterns, the researchers incorporated a similar mechanism into the robot's leg design, enabling efficient navigation in complex environments.

Second, the cockroach's sensory system is also key to its ability to survive. Cockroaches acquire environmental information in a variety of ways, including touch, chemical perception and vision. Using ultrasonic sensors and infrared sensors, the cockroach model is able to maintain accurate positioning in dark or complex environments. The researchers applied this property to the design of robotic sensors, enabling them to efficiently avoid obstacles and perform specific tasks.

In addition, the survival instinct displayed by cockroaches in response to a crisis also provided inspiration for the model design. When threatened, cockroaches react quickly, displaying amazing speed and agility. The research of this rapid response mechanism is of great significance for improving the autonomy and decision-making ability of robots. Applying this property to autonomous robots could make them better able to adapt to changes in uncertain environments.