zombie game!!

hi, i am making a zombie game and bascially i want to make the zombie attack the player but not sure how to code it?
my zombie animation has an axe which it hits with but not sure how i would go about implementing damage to the player. if you could please help…thanks

this is my code so far.

// Public Variables
	 
	// the enemy's speed	
	public var speed:float = 3;
	 
// the distance within which the enemy will detect a player, from the waypoint
	public var playerDetectionRadius:int = 10;
	 
	// the max distance the enemy will chase the player to, from the waypoint
	public var maxWaypointDistance:int = 20;
	 
	 		// the player that the enemy will follow
	public var player:GameObject;
	 
	// the waypoint object that the enemy is commanding / guarding
	public var waypoint:GameObject;
// Private variables
	 
	// whether the enemy is chasing the player
	private var chase:boolean;
	 	
	 	// whether the enemy is waiting for the player
	private var waiting:boolean;

private var attackRange = 3.5;
private var dontComeCloserRange = 2;


function Update () {

 // the current velocity of the rigidbody component
	var velocity:Vector3 = rigidbody.velocity;
	
	// difference  between the enemy and the waypoint
	var waypointDist:Vector3 = waypoint.transform.position - transform.position;
	waypointDist.y = 0;
	
	// difference  between the enemy and the player
	var playerPosition:Vector3 = player.transform.position - transform.position;
	playerPosition.y = 0;
	
	// difference  between the player and the waypoint
	var playerDist:Vector3 = player.transform.position - waypoint.transform.position;
	playerDist.y = 0;
	
	
	
	// if the distance from the player to the waypoint is less than the playerDetectionRadius
	if (playerDist.magnitude < playerDetectionRadius) 
	{
		chase = true;
		waiting = false;
	}
	
	// if the distance from the enemy to the waypoint is greater than the maximum allowed, stop chasing
	if (waypointDist.magnitude > maxWaypointDistance) chase = false;
	
	// if we are chasing the player
	if (chase) 
	{
		// set the velocity of the enemy to the direction of the player with the specified speed
		velocity = playerPosition.normalized * speed;
		
		// play the walking animation
		animation.CrossFade("Walk_Axe");
		
		// if enemy is within attack range than attack
		if(playerPosition.magnitude < attackRange)
		animation.CrossFade("Attack_1");
		
		
		
	}
	else
	{
		// if the enemy is not waiting
		if (!waiting)
		{
			// if distance to waypoint is really small
			if (waypointDist.magnitude <= 0.5) 
			{
				// set velocity to zero, play stand animation and set waiting to true
				velocity = Vector3.zero;
				waiting = true;
				animation.CrossFade("Attack_Stance");
			}
			else 
			{
				// set the velocity of the enemy to the direction of the waypoint with the specified speed
				velocity = waypointDist.normalized * speed;
				
				// play the walking animation
				animation.CrossFade("walk");
			}
		}
	}
	
	// update the velocity
	rigidbody.velocity = velocity;
	
	// lookat the player
	if (chase) transform.LookAt(player.transform);
	else transform.LookAt(waypoint.transform);
	
	
	// reset y position and rotation to 0 to remain on floor
	transform.position.y = 0;
	transform.eulerAngles.x = 0;
	}

there are several ways to do it. Depends on how you do damage - does object reads if it’s damaged, or other object sends message upwards if damaging something?
there are lots of scripts around forum and unifycommunity, even script reference, not sure why are you avoiding search button

here:
GameObject.SendMessageUpwards